I find bus stop timetables a bit pointless, frankly. There is no assurance that it is a current timetable, even pre-covid. Driver shortages and the ongoing cull of routes have only heightened this. A list of routes, destinations, via points and operator, accompanied by contact details and where to obtain live travel information from. An area map in the London spider style would also be helpful.
Of course, if there is a commitment to keep timetables up to date (i.e. within 24 hours of any change), then they serve a use.
Garbage in, garbage out. But that applies to online information as much as it does to at-stop publicity. There are online resources which do not flag changes in advance, even when data has been inputted, so you have to constantly recheck. There are online resources which do not post changes until well after the event, so checking on the day doesn't help.
That applies to non-transport sectors as much as any other so remains applicable to the OP. I have visited museums, checking the opening times online before I left home, to find myself 'removed' early due to it closing at a different time than posted. That was pre-covid but I cannot imagine the situation has improved as a result of covid. More likely generic waffle has replaced actual factual information. Shops, pubs, restaurants ditto especially around public holidays.
Returning to bus station/stop times. Such things may take a lot of time, therefore money, to update. If you no longer have someone based at the bus station who can update the displays, then someone has to be identified to do that job, to go out from wherever they are based to do that update etc. Obviously individual route stops have always had that issue.
My view is that you either do the job properly, or accept that you cannot do it properly and therefore don't do it at all. I would rather no information than incorrect information.