Partnership advice

So my hubby has been working from home for the last 2 months. From his perspective, he's doing all the work. He sees me taking personal time on and off throughout the day, as well as leaving the dishes until dinner time to clean.

From my perspective he has set hours, I do not. I am basically on-call needed day and night. I take care of our now 6mo old baby. That entails waking up 2-3 hours earlier than hubby to care for baby, entertaining baby all day, dealing with fussiness from teething, breastfeeding on and off all day from wake to sleep. I personally hate cooking. So hubby and I cook and do dishes together. One cooks while the other does dishes, then we swap the next day. I do take personal time while baby naps. Thats approx 1-3hrs per day depending on whether he naps well or not.

My hubby said to me today "we should have the same work hours. Its not fair you get so much personal time."

What I dont think is fair is that I had to sit on my bum for 10 months making this baby while he still got to enjoy his normal life. I quit horseback riding, snowboarding, attending certain social events, etc. I also had to be up every 2 hours to breastfeed the baby while hubby slept in the beginning weeks. Not to mention the days where I would hold a screaming baby for hours, begging my mom to come relieve me for even an hour. :(

But he only compares it day to day. Anyone else's hubby like this? Any advice?

Edit: We do talk. Thats how this came about. We just disagree. So it keeps coming up.

Edit: He believes in fairness he says. 50/50split. That I should work the same exact hours as him. Which is why I stated all the things I do, which I think is working the same as him. I wouldnt say its that we are competing, its that he thinks Im not pulling my fair share. But he forgets that we've both made sacrafices, and we've both had easy days.