Well, considering your POV, I guess I could ask you why bother God at all by praying for someone's salvation, since God isn't going to intervene in their lives and violate their free will?
Prayer, all prayer IMHO, is for our benefit. It helps us to be more Christlike... to pour out our hearts on behalf of others.
I don't do it to change God's mind. I do it in hopes my mind will be more closely aligned to the mind of Christ, that my will.... will be more aligned with God's will.
I don't know who God has chosen for salvation. Nothing would make me happier than for the whole world to come to salvation today, every single person on the planet.... however, I don't think that will happen because it would be contrary to what God has revealed in His Word.
I do think your question demonstrates a lack of understanding on your part of what "reformed" folks believe. You seem to view us as callous, unfeeling intellectuals that want to declare ourselves to be saved but believe very few others are.
I can think of no one I know of the "reformed" position, that doesn't have a heartfelt urgency to proclaim the gospel to people, to pray for their salvation, to ask God to have mercy on others as He has had mercy on themselves.
peace to you

raying: