No, it won't be shifted to a percentage chance on any endgame node.
But we recognize this became a problem, with certain players essentially abusing the fixed timer, together with creating accounts for free, to hog every node on spawn. The solution being implemented is that the timer won't be fixed anymore. It will have a rather wide time range when it can spawn, and a random one will be picked from that for each respawn. That way, we aim to make it so campers would either have to be extremely lucky to login at the right position on the right time by chance (ridiculously unlikely), or stay online waiting for when RNG decides to make them spawn - and then they're free game for people to slaughter.