Well, yes, the prayers of the members of Christ's body the Church, so yes.
"not Catholic saints."
I think your're saying that the deceased members of the Church don't intercede (pray) for us. If that's the case I would say that they do, after all they are still members of Christ's body the Church and we are told to pray for one another.
Looking at the following verse I don't think anyone would disagree with the statement that the Saints in heaven are surely the ones who remained in Christ "the vine" as they have not been "thrown into the fire", the conclusion is that they are still considered members of Christ's body the Church:
JN 15:5 "I am the vine; you are the branches. If a man remains in me and I in him, he will bear much fruit; apart from me you can do nothing. 6 If anyone does not remain in me, he is like a branch that is thrown away and withers; such branches are picked up, thrown into the fire and burned. 7 If you remain in me and my words remain in you, ask whatever you wish, and it will be given you. 8 This is to my Father's glory, that you bear much fruit, showing yourselves to be my disciples."
I don’t see that it pertains to your Saints anymore than it pertains to any Christian who has fought the fight, run the race and completed his or her journey in Christ. ANY OF US are capable of that.