Paper cards are available at every tournament....yes, TD's are required to have them available. Hey, I am a guy that owns his first cell phone, of any kind, as of a year and a half ago. I am not a fan of doing anything [outside of playing music] on it. But, demanding a paper card at a tournament impacts every other player. To have the means to use digital and choosing not to, is simply being selfish and obtuse. There are exceptions. Some don't have a phone [sounds like your situation], forgot their phone, no cell signal on their carrier, failure to charge it.....
I did not relate the nefarious purpose story for anything other than amusement.
Entering 60 of your individual holes scores is not TD deal breaker, but man, they have a lot of stuff to do....and EVERYONE thinks their own need is the most important and pressing. A paper card makes everyone wait a few minutes longer for the start of the next round, the division waits a little longer to get awards, the risk of card discrepancies rises again, wet/smudged paper cards lead to errors and the need for player/TD collaboration, reading some player's writing is difficult to impossible, players forgetting to turn in their card, at the end of the round is back on the table, the immediate hole score discrepancy feature is void, setting up the four player sitting around going hole by hole fun......I know each of these is kind of silly, but I think you get the point. I am not even a real fan of this rule.
I am not sure, how not broadcasting a paper card option is not cool, but to each their own.