Will Variable Depth Of Cut Cause Dye Problems?

[CrufflerSteve]

I'm a newbie and decided to do an intricate Celtic pattern on a belt. It took a lot of cutting. I tried to maintain a consistent depth but lost it in a few places, especially after stropping the cutter. The belt is solid and in no danger of falling apart but some lines got cut way deeper. I've tooled it all now and wondered if this will cause issues for dyeing. I didn't open up the deep cuts to keep a consistent look. The regular cuts are all beveled and modeled open and I stayed with that look.

As long as I make sure I dye the deep cuts - Is there anything to worry about.

Steve