Funnily I did exactly this, so the {lastname}.name is now legacy for me and nobody else of my family ever picked up the offer to have {firstname}@{lastname}.name adresses anyway. Later (but before my name change) I managed to secure {lastname}.de which I stupidly missed during the early internet due to being a stupid teenager with stupid convictions. If I had secured this back in the day I think they would happily started using it but now they are all too settled in their provider/free webmail addresses.

Nice twist: The father of my wife owned {newlastname}.de since the dawn of the internet. So I'm still fine on that front. ;)

Aside: I'm honestly bewildered that Google doesn't have the ability to handle that in gmail accounts. If somebody gets married or otherwise needs to change their name, their answer is "just make a new google account" when all your stuff is still tied to the old account.