Catholics are taught to pray for others. This is a real mystery to me. Does it really make a difference whether we pray for others or not? Does it matter how intently you pray, or how long you pray, or how much faith one has? Does it matter how many people pray, or how virtuous or sinful the person praying is? If these things do matter, what does that say about God, who may respond if people pray, but does not respond if people don’t pray? If these things matter, then is it the degree of virtue or intensity or duration that counts? And if these things don’t count, and God responds indepently of the quality of our prayer, then what real value is prayer?
we pray for our own sake, and not for God, God does not need our prayers, He is perfect after all, He cannot be added to because He is infinite,
so why do we pray for others? what do our prayers do? why does God want such a thing?
the answer is, it is for us, God knows what is good for us and what will properly shape us, if God just gave us everything without us asking, how ungrateful and tepid we would be,
and not to mention, if we did not pray, how would God be able to show us He is answering our prayers? everything would kinda “just happen”,
of course prayer is not just formal vocal prayers, but also mental prayers, which is just talking with God or contemplating on spiritual things, both are very important,
but both are also meant to be the “lifting of our hearts and our minds to God”, it is not just about saying a bunch of words, it’s about learning to love God and show Him that you care about Him and your neighbor,
of course God knows what we need, but if He did everything for us without us doing anything at all, then we’d just become lazy.
God loves us very much, and wants us to come to Him for what we need,
by prayer we learn to love God more and know Him more, and it is just very essential to our spiritual life,
and since you cannot have a back and forth conversation with God like you can with your neighbor, so then prayer is the way we speak with God, whether vocal or mental.
God knows what we want and what we need, but when someone does not want to pray, that just shows how much they do not care, and God is not going to feed that kind of carelessness by giving them everything without their effort, it would only be more harmful for them.
and if for no other reason, we should pray simply out of obedience, because God told us to…what other reason do we need? we are ignorant of so much, we should be more trusting of God Who knows all, whereas we will not know everything even in all of eternity, and at the end of your life, what you did out of obedience will mean more for you than anything you did out of understanding, so even while you don’t understand it, do it anyways, you won’t regret it.
to answer your last question - the real value of prayer is how much love you put into it.
ok, so i hope this helps, take care.