Is that because the innovations are so powerful and impactful that they massively change the game state? I wonder what the designers could do to make the game more playable in a group.
It makes me think of one of my group's favorite games, Cosmic Encounter which sees you leading an alien race with a game bending special ability. Each round is a quick duel with a random player so you can't plan too much around that. The strategizing is mostly around when you decide to use the best cards in your hand, which you don't typicallyhave to worry too much about being taken from you. Also you often have to decide which player to hinder from winning or to help (perhaps opportunistically, even if you don't want them to get stronger it can pay to hitch your wagon to them for a boost).
We just like the surprising moments that can arise from the alien abilities and the cards. And the full-table engagement with most rounds.
I'm not great at giving advice so I won't but I will share my own experience. Yeah that whole "first moment changes your life" thing is either made up or exaggerated or just highly personal. My son had some minor complications during delivery and came out like Smurf blue. The color, the crying, and the wiggling after he first came out honestly gave me the feeling that he was like some kind of alien (not literally, just that it was off-putting). And I can't say that my first impression of holding him was revelatory.
We're on kid #3 (the last) but my wife will be the first to tell you that the newborn stage is her least favorite. It really is stressful and toilsome. The bad news is that it gets a little harder as they spend more time awake. The good news is you do get some time back in a couple years when they're old enough to understand not to eat literally everything they can put in their mouth. So you've got that to look forward to. The weight of the responsibility never goes away, though.
As for the feelings, I'd say that really kicked in for me once you start to see how much they change and grow. I felt a lot of pride over a lot of the "firsts" that they learned and there's a lot of those in the first year. And as for bonding with them, that also solidified more when they grew enough to start interacting more. I can't help but smile when my youngest crawls over just because he wants to sit in my lap while he drinks his bottle.
So yeah I'd say a lot of what you're feeling seems pretty normal from my perspective and for me it improved as time went on. I wish you the best. It's going to be tough, both as a father and as a husband. But if I had the chance to erase any of it from my life, I wouldn't.