Um...no, and I don't think you understand the wandering bite point if you are saying this.Are you saying your shimano's pump up to have no free play? That's not the normal shimano wandering bite point issue. It sounds like you just have bad runout on your rotors and are getting bad knock back.
One again, the wandering bite point is where the bite point moves OUT, to the point where the brakes engage with virtually no lever travel. That's where your "hard" bite point is and you can't pull it further. It happens on steeps where you are on the brakes most of the time, they are heating up, you have to let go momentarily to change your grip, let the wheel go a little, let the brakes cool down, direction change, whatever, and when you re-engage, the bite point has now moved further out. Do it a bunch and you can get them moving out just like I describe. In cold weather, it'll do it everywhere, without having to be on the steeps or on the brakes so much, to the point where it just moves so far out the brakes are on/off switches with no lever travel.
The lever is always firm during this, not soggy. It's not going to the bar or anything like that. All of those issues can be traced to air in the lines/bleed/leak, etc.