Catholics accept the Real Presence because their faith REQUIRES it.
Catholics, Orthodox, Lutherans, Methodists, and Calvinist Reformed/Presbyterians accept the Real Presence because Jesus tells us so.
https://en.wikipedia.org/wiki/Real_presence_of_Christ_in_the_Eucharist
Hallmark of the Laodicean Age perhaps?
BTW, is Wikipedia the level of proof sourcing you prefer?
Only one of the above has followers which do appear to insist upon this "Real Presence" include a corporeal sense (of corporeal flesh).
The term "Real Presence" capitalized as such was in past eras utilized first (I think) by Protestants, but not while inclusive of a corporeal sense be attributed to that "presence".
It's too bad that the phrase has been hijacked by Roman Catholics who argue for a literal flesh and blood of God be present within/as the bread of holy communion.
If not for that consideration, it would be so much easier to speak of what the Orthodox long termed Sacred Mystery.