When our dd was a baby, I did all the feeds obviously when bf, but we shared a bit more when we switched to bottles, and dh would take her and hold her between feeds, so that I could have a break or sleep (when he was home). He also tended to mostly have her in the evenings after work as I would do cooking or just generally get a break, or when she was really little, I would go to bed to get some sleep before the overnights. Even when I was bottle feeding, he was still up and helping every night feed as I needed someone to go make the bottle. He did most of the early changing as well, especially at night.
As she got older, I would say it's largely been 50/50. Obviously, when I was home I was doing more during the day, but because he had to work, he did more after work. He was never very good at getting up in the mornings, so I would say I did more of the very early mornings, but it's not like he got a lie in either. He might have gotten an extra 30-45 minutes of sleep after getting me her bottle and going back to sleep. Unless one of us is ill and dying, we don't get lie ins. We both get up. That's gotten easy as our daughter has gotten older. In the evenings though, he's always taken her as soon as he got home (5-6 ish) while I cooked dinner or did anything I needed to, and he's always been the one to do bathtime. In fact, I'm terribly at baths because I never give her one unless he's away. I do her last feed and bedtime unless I have something I need to do (we both work full time now so depending on who is more busy, one of us might need to work a bit in the evening from home, so the other does bedtime). Usually it's always been my thing though. Ours doesn't nap anymore, but when she did, we both did it depending on who was home and had the time.
On weekends, we're both up with her in the morning, doing things around the house, breakfast, etc. and we both go out and do something with her during the day. The only exception is if one of us needs to work (again, we both have careers with non-traditional hours, but mostly can work from home or wherever). If I need to do a few hours on a weekend morning, I get up at 6 and go to a Costa and work and sometimes he needs to go to his workshop to do some work (he's self employed). But we both try to get up and do it in the morning so we're back by late morning or lunch time and then we do something together.
I do think you're right about pulling back and giving him a chance to do more. My approach always was when I was home, it was all me all day, but once he finished work and on the weekends, it was as much his job as mine, and I didn't feel guilty about that. It was really good for him and meant they had lots of bonding time. I had to go away for 2 nights for work when my dd was 9 months and then again for 2 weeks when she was 16 months. Because we'd both always done things, it was easy enough to transition into him being the main caregiver when I was gone and it wasn't much disruption. Our dd is older now (4), but I also now work long hours 2-3 days a week (6am-7pm) so he does everything on those days. Because we started early with him being really involved, it hasn't been a big deal and she's happy for either of us to do these things.