It does not. You can't just hand-wave away the wording of the rules because they're not convenient for your point. The wording of the rules, as it actually exists in the actual rulebook, does not support your point.
Lets look at the actual wording of the 802.05A-D...
Note: since I am using italics to highlight the text of the rules, I will use bold where the PDGA uses italics within the wording of the rules.
802.05.A
The lie is the place on the playing surface upon which the player takes a stance in order to throw. The playing surface is a surface, generally the ground, which is capable of supporting the player and from which a stance can reasonably be taken. A playing surface may exist above or below another playing surface. If it is unclear whether a surface is a playing surface, the decision is made by the Director or by an Official.
Immediately your notion that "A describes the STANCE , and B, C, and D describe the LIE" is demonstrated as incorrect by the structure of the rulebook itself. Anywhere that a term is being defined within a rule/subrule throughout the PDGA Rulebook the term being defined is highlighted with additional emphasis (italics in the rulebook, bold here). The exception being terms defined by an entire section of their own. 802.05.A is defining the lie, and it is made explicit through the use of italics in 802.05.A.
Additionally - the rulebook clearly is not defining the stance in this section. Not only is the term stance not highlighted as a term being defined, but the stance is clearly defined by the text under 802.07.A.
In this section (802.05A) the lie is defined. The playing surface is defined. The stance is not. However, the stance is included as a necessary part of defining the lie: the place on the playing surface upon which the player takes a stance in order to throw ... - if the player is unable to access a point within the lie, the lie necessarily does not exist in that spot within the boundaries of the lie because a stance can not be taken.
802.05.B-C
The lie for the first throw on a hole is the teeing area.
A drop zone is a lie. A drop zone is an area on the course, as designated by the Director, from which a throw is made under certain conditions. A drop zone may either be marked and played in the same manner as a teeing area, or in the same manner as a marked lie. A teeing area may be used as a drop zone.
All I want to do with 802.05.B-C is take note of their purpose. 802.05.B is outlining where the lie exists on a tee shot, the teeing area (as defined in 802.04). 802.05.C is defining drop zone and then outlining where the lie exists in the event of the use of a drop zone. Both B and C are explicitly about where a drop zone is.
802.05.D
In all other cases, the lie is a rectangle that is 20cm wide and 30cm deep, centered on the line of play behind the rear edge of the marker disc. The line of play is the imaginary line on the playing surface extending from the center of the target through and beyond the center of the marker disc. The marker disc, or marker, is the disc used to mark the lie according to 802.06.
You can not ignore the presence of the first four words of the first sentence. "In all other cases" associates 802.05.D and most specifically its first sentence with the prior sub-rules B and C. You can not ignore the wording of the book for convenience. This is crucial. The first four words of the sentence are necessary context for the rest of that very sentence: "In all other cases, the lie is a rectangle that is 20cm wide and 30cm deep, centered on the line of play behind the playing surface."
It is clearly, just like B and C, defining WHERE the lie exists. It is not defining what a lie is. That is what 802.05A did, specifically in the sentence that included the word in italics denoting it as the spot in the entire book that is defining what a lie is.
The entire argument that the lie does not change because the boundaries or location of the lie do not change is like saying that if I built a gazebo in my backyard I didn't change my backyard because I didn't change its perimeter or move it to another property.
Because the casual obstacle AND the lie are both defined in the rulebook as on the playing surface, and because casual obstacles are explicitly defined as separate from playing surface, the casual obstacle is necessarily making it impossible to "take a stance" (as 802.05.A says), meaning that in spots where the lie and the casual obstacle would both occupy the space "on" the playing surface, the lie necessarily has "holes" in it, so to speak. By removing the stick you eliminate those "holes" by creating a space where a player can "take a stance."
Just because the boundaries remain the same does not mean that the entire composition of the lie stays the same. A lie can change without changing its boundaries, just like my backyard can change without changing its boundaries.
You are making this way more complicated than the intent of the rule book, because it conveniently supports your argument for a case that is completely separate from the Gannon Buhr situation at the Des Moines Challenge
A Clearly refers to the stance and surface.
B, C and D clearly define the lie for the tee shot, a drop zone, and ever other case.
Removing an obstacle from the lie does not change the lie.
The only time the lie actually changes is if a player takes casual relief, as allowed by the TD defined in 803.02 Relief from Obtacles. "To obtain relief, the player may mark a new lie that is on the line of play, farther from the target, at the nearest point that provides relief (unless greater relief is announced by the Director). "