No they are no less capable than women!
He needs as a pp said MORE experience not less. To get to know them, to develop his own parenting rhythm.
My grandfathers, dad and ex husband - none of whom were particularly “enlightened” men were/are all perfectly capable of managing babies and young children. They did night wakings from the start so learned each child’s individual preferences for settling (in the case of my grandfathers that was 6 babies one side 5 the other and sometimes settling more than one baby at a time), cared for children while the mums were at work or out socially on a very regular basis.
My mum worked retail mainly & pub work as this meant she was able to fit some hours around dads working patterns and therefore limit childcare costs, this meant she mostly worked eves and saturdays and dad would make dinner both nights, supervise homework, on Saturdays do things like swimming, roller disco (yes I’m old!), ice skating, or just to the park or for nature walks and teach us things like identifying plants and animals, teach us cycling... though that was when we were older of course but as the eldest I remember he also coped fine with baby/toddler care of my siblings. I actually have very fond memories of those Saturdays, maybe partly as we were allowed to do some things those days that mum wouldn’t have let us away with, but the basic needs were covered. We were fed, watered, dressed appropriately for the weather (even if somewhat mismatched compared to what mum would have done), entertained, educated, listened to... it was great then!
I even know several step fathers who’ve been really good at calming fractious babies/toddlers and taken to making up bottles and changing nappies etc no problem at all.
Your partner doesn’t WANT to do this parenting so he’s deliberately making it seem as if he’s incapable.
Frankly my response would be in your shoes to be out every night for the next week! And thereafter have AT LEAST one evening if not one full day where he has sole parenting responsibility a week.
Assuming he’s not a total uncaring arse he won’t let his children suffer and will instead step up and realise he’d better LEARN to parent and fast!!
I had emcs with dd and lost a lot of blood and was very very ill even after I left hospital. She was bf so I did all feedings, no paternity leave back then but ex took 2 weeks annual leave he’d saved up and with night feedings he’d get up too and get me a drink if necessary, do burps and nappy changes and setting so I wasn’t doing it all. When he went back to work I obviously had sole care in the day but as soon as he was home he’d “take over” Do the next nappy change, bath her, put a laundry on, cook dinner, do dishes etc he’d not be doing everything we’d do it between us but it certainly wasn’t a case of me doing all the “baby stuff” and him doing “men’s work” and he continued to do his share at night too - yes even though working the next day. And he was army so his work could be very demanding, long hours etc.
When she went through her colicky phase she settled better for him than me! He’d literally walk the streets with her in his arms or take her out a wee drive which usually worked a treat.