It's inevitable that people will follow parts of the trail without the paper map. Perhaps hunting geo caches. Or perhaps looking for a waterfall they saw on Google maps or some website.
If it's in OpenStreetMap, they can easily follow established trails using an app they are used to. I.e. less erosion. And when they get lost or injured, use the app to self rescue.
As a long distance hiker, I can promise that this monetary decision will result in wilderness rescues if not tragedies.
Even trails that have free apps there are people who try to go without...