Will other Regular Application colleges know the Early Decision college where I applied at?

I applied for Early Decision 2 at one school. However, will my Regular Application colleges have access to knowing where I applied as Early Decision.

I think that they do. When I filled out the Early Decision 2 form, it said that it will share this information with other colleges.

Anyways, is this suppose to decrease my chances of getting accepted at my Regular Application colleges? In the case that I get rejected at my Early Decision college.