It won’t help. It it certainly won’t hurt. It may help if you have an application that reflects the Jesuit ethos that values both education and service.
The vast vast majority have no connection. So it’s helps if you have a connection combined with the academic profile. However it’s not like they are looking for reasons to reject someone with a great application for various reasons.
The only caveat. Many people have their impressions based on experiences as recently as five years ago at many colleges. The competitive environment has ramped up. BC as selective as they have been for years has gone into new territory in the recent past.
Good luck.