Of course people won’t be honest. We’ve all likely read stories about known positives getting on planes and such. There was a story about gyms being super spreader places because lots of people don’t wear masks and of the limited number of situations studied where they were spreading the virus there were multiple cases where people who had either tested positive or had obvious covid symptoms had still showed up to workout.
If most people in the US actually had concern for others our infection stats would look more like countries like Australia.