No, they don’t recruit.
You can check their rosters if you want. Their players have been in the parochial school system since elementary school. Unless you think Xavier’s coaches are so good they can identify varsity-level talent in first grade.
Dowling, though ... yeah, those guys bring in players from other schools all the time, no doubt about that. But you can’t make them play up, they’re already 4A.
Now, if you want to discuss socio-economic and other factors to level the playing field and perhaps have certain schools playing in different classes, we can talk - but I know the Xavier football program and they do not recruit. And why single out Xavier for not electing to play up in a class they don’t have the enrollment for, when NO OTHER SCHOOL IN THE STATE has chosen to do that on their own?
(Xavier didn’t “drop” to 3A, either. They’ve always been a 3A-sized school, but they competed in 4A as a member of the MVC, where all the conference schools agreed to play 4A schedules. When Davenport Assumption ditched the MAC in early 2014, that caused the dominoes to fall that ended the MAC and the MVC for football and brought districts for all classes across the state ... so Xavier is playing in the correct class for their enrollment. An enrollment that has been going down, by the way - they’re barely in the top 20 in 3A by size.)