No one will remember it from the flyer. Even if you post it, some will not see the signs and ask you when the round starts after lunch. Others won’t ask at all, and arrive late for the start of the third round; but you probably won’t get a major gripe about clocks getting started on a late player. Past a point, cats accept the consequences of behaving like … cats.
One thing I did at one tournament was figure out the pairings as soon as possible and then allow players to start early if they were both there and wanted to. That gave a little bit of the effect of ASAP while still allowing people to keep to leave to grab an early lunch if they wanted to do that rather than hang around.
The tournament ended up with a one-hour lunch break that had not been originally scheduled with the exception of one game that was played at the original round three time (for a player that had a planned round two bye and wouldn’t be back until the normal round three time in the five-round Swiss).