In draft pick I expect the queue time to be about 1min-1:30. Each team will consist of what is considered the meta, ADC/Support/Mid/Top/Jng (although I always hope for a change when I'm supporting. Maybe a Darius ADC or Cassio APC to support.) everyone will call a role, usually one will be called by more than one person, but the latter person will change to something else. Rarely someone will dodge for not getting the role they called.
Loading time will take 2-4 minutes. I don't usually pay attention during this time since I know the team comps from champ select. Most games have 4-8 skins in use. Ping is fine and the servers rarely have problems for me. I don't pay attention to the loading screen tips since they appear and disappear faster than i can read them (tip swaps out for "VS")
In game I don't expect any KDA value of anyone, neither positive or negative. Trying my hardest to win and just having fun are two different worlds for me. I'm unsure how I choose which way to play, but it is very obvious which ways I'm playing by my item builds. When I am seriously analyzing a game, I judge how well I and other people perform largely on their wards placed, and supports by wards placed + wards destroyed. communication by my team will be often negative. Someone did something wrong, and they should've done this instead. Or they shouldn't do anything at all. I have very low expectations for chat, and often only read it every minute or so.
In blind pick, I expect mostly the same. Some things change.
In champ select I expect a couple people to argue over who gets what role. I expect 1-2 people to not call any role, and not click a champion until the last couple seconds are on the clock. This lack of communication irritates me, since it often leads to 2 top role champions being picked or such.
I don't expect people to try as hard as Draft, which is why I love playing it. People feel like they play to have fun, and that winning and positive KDAs aren't the primary goal. Most games I still expect one person to be the "must-win" draft kind of person; he will insult players that are playing poorly or not meeting his expectations. Sometimes he will ask in all chat for everyone to report the player that is doing poorly or trying something different. I have very little judgement on skill or performance in blind pick, since strategy isn't usually involved in the champion select. Overall I read chat more often; people don't seem as offensive as they do in draft pick, so it's easier for me to deal with emotionally.
I hope some of that helps for whatever you're doing! 