Will the big pigeon you buy fly back if you fly away?

The big pigeon I bought flew back and had a chance to fly back.They have the ability to recognize roads.But if they encounter raptors or other natural enemies, they may come back a few days later.Generally speaking, they will not go home for more than fifteen days late.If the public pigeons are released, they may be abducted after finding their spouses, and this situation may not be able to come back.If they are unfortunately injured, they may never go home again.