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I honestly don't think it'll make much if any difference. Position and skill will make far more. As noted, moving saddle forward and moving yourself forward, standing and leaning body as needed, to weight where needed. If the front wheel is lifting, 10mm lower isn't going to stop it doing so. Your riding style will. Watch a few videos of people rising up trails and see how they move. I can climb better on my 140mm bike than my 120 and same again to 100.
It will, a bit. But not a lot.
Sliding the saddle forward on the rails would likely have a bigger effect