one of my former colleagues retired around the same time as the national (england) bus pass for senior citizens came in, so he celebrated retirement by going round england by bus going as close to the edges as was possible (this was before the post 2010 cuts, so probably easier then) - think it took him 2 - 3 weeks.
i did (and can't remember why now) on an urban thread a few years back work out how you could do the south circular by bus (think it would involve 10 - 12 separate buses and a couple of bits of walking) and have been threatening to invite urbanites to join me on this. life, work and lockdowns have meant this hasn't happened yet...
as regards the bus or coach debate - there are some legal differences in UK law, both in terms of vehicle standards (although both are subject to the same operator and driver licensing systems), and how you license running the service (a ' local bus' service where you commit to running at certain times and people can just get on and pay a fare is more regulated than an 'express service' where an operator can pretty much do what they like when they like.) and the drivers hours' rules are different for local bus and you don't have to do tachographs.
would have thought that most people would recognise the difference between the sort of thing that national distress use for long distance services and the sort of thing that (in london at least) is red and stops every few hundred yards. Although aware that in some parts of the world, having a different word for each is not a thing.