I have two rescue males aged 5 (Fletch) and 7ish (Pip). Fletch is entire and Pip neutered (by his rescue). It is Pip, who came after Fletch, who is top dog in most situations - but not all.
However, both of them will have a growl at each other if one higher than the other (on the sofa, my bed, etc.). But, that is all it is - they never fight - but they do play fight.
My parents' two entire males, however, would fight to the death if allowed, after getting on for about a year, and were seperated for 10 years! However, when my neutered rescue Jamie came along, he was top dog to both of them.
The point I'm trying to make is that neutering does not necessarily mean that a dog will be lower in the 'rank' to an entire, particularly if the dog is neutered as an older adult. IMO, it is down to the personalities of the individual dogs and their like/dislike of the other dog.