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No. If you leave and come back within 2 years (I think), you get the same as you had before you had left.

If a company wants you they will pay you market rates, you may need to present them with competing offers if you don't want to be lowballed.

They don't give a ... You are just a number. Even if the hiring manager really wants you, s/he is not given the budget, so they are powerless.