The domain name ownership can turn out to be very important, say it this hits it huge and actually starts making real money (Banggood ads on the page, for example), the owner of the domain is exactly that, the owner.
Who should that be? No clue, in situations where someone (an individual) is starting a team it's pretty clear. In our situation not so much, unless we incorporate somewhere, but that is expensive, excessive, and brings with it many other problems. So probably not.
Odds are we won't become the next McLaren anyway, so it probably won't matter.