My apologies for yelling. It's just, without the log, you're essentially playing IRL Dominion, just with auto-shuffling. Did you have trouble keeping track of things when you played Dominion with real cards?
Here's the thing... IRL Dominion is simply a different experience, and always will be, than online Dominion. In IRL Dominion, you are sitting with people, interacting with them, talking with them. Sure there's a chat function but that's not the same. 3 big differences:
1. Generally when I play in IRL, people tend to narrate their turns, or at least the important stuff. They'll say "I'll buy a Duchy" as they're grabbing one. When they play a Nobles, they'll say "Nobles for the actions". This gives a lot more than some flashy animation.
2. No matter how slow the animations are, they aren't going to have the same presence as someone reaching their hand out to the middle of the table and picking up a card. And often they get another player to hand them the card they want to buy when it's not easy to reach.
3. Even IRL, sometimes someone takes a really fast turn while I was looking at my own hand, and I didn't see what happened. So I'll say "what did you just buy?" And they'll tell me. That's a lot easier than opening up a log and looking for the thing that was last bought. Or using chat to ask what was just bought (and maybe getting a response, maybe not).
So while it would be nice in theory if online Dominion could imitate IRL Dominion as much as possible; it simply doesn't work that way. Just like how forum Mafia is quite different than IRL Mafia. Same basic game, same rules, etc; but a different play experience.