This isn’t a question with a simple answer. I don’t think many good, engaged dads would be happy just seeing their kids EOW. But then, a lot of relationships end BECAUSE the dads aren’t engaged - they’ve either had enough of family life and left themselves or the mum has ended the relationship because they’re sick of enabling a man child. There are exceptions of course.
A lot of people assume there is always a “custody battle” and it’s the mum insisting on having the kids more but there are also lots of mums who would love their kids to have decent dads and spend more time with them. Many women want a break, opportunities to work more and advance their careers. I don’t think it’s appreciated enough how much single parents (mostly mothers) have to turn down work opportunities because of their situation. I cannot do anything out of the house during the week that requires a late night or early morning other than on a Monday. I have advanced in my career since we split but it is more difficult.
I’ve also come across situations with friends where their ex has hardly been involved until the kids are much older, out of nappies, teenagers even, then suddenly dad wants 50/50 or to see them more. The kids are not interested though because that’s not what they’ve grown up with.
My exh and I split 5 years ago, if he had said from the start he wanted the kids 50/50 and was willing to be a good, involved dad then I would have welcomed this. As it is it took over 2 years before he would have them EOW and every Monday night, so 4 nights a fortnight, with a bit more time in the holidays. There are many other reasons why (happy to elaborate if anyone wants details) but I now would fight it in court if he decided he wanted 50/50. I don’t think he’s a great dad, but it would be possible for him to be a better one and still maintain the current arrangement. He isn’t interested in increasing his time with them though.