DH delivered both our babies, with the midwife next to him each time. With DD's birth DH cut her cord but with DS's birth I got to cut the cord (something I wanted).
My DH asked at the start of DD's birth how involved he could be & the midwife said as involved as he liked. I had a mirror with DD's birth so I could see aswell & the midwife asked DH if he was ready to catch DD, she shuffled side ways & he was stoked to be able to be so involved.
Second time round we told the midwife thats what we wanted & she didnt have a problem with it either.
I think its great for a father to be able to do (if they're happy to do it) it's so different to the "old days" when DH's weren't even allowed in the room! If someone's got to catch your baby, might as well be one of the parents & as others have said, DH's miss out on so much through the pregnancy (& put up with so much from us) I think they deserve to have the choice to catch the baby if its a complication free delivery

I say go for it!