You get the dress based on your performance in the dance mini game. That replaced the clothing shop but the drunk dad at the bar who is lost about life, the clothing shop, materia shop owner laying down, the restaurant where you eat various shit, someone at the bathroom in the bar while someone is waiting outside needing to tinkle are all there. Add in squats, various crap going on behind the doors at Honey Bee Inn, and we are there. You don't go the same route as the original but all the other stuff is still there as Easter eggs.
I have never not gotten picked by Don Corneo besides the first time I played FFVII in 1997. So I have no idea what you're talking about with people chasing Cloud. I got picked as number one by the Don and the scene was verbatim with the original.