I think it will hold up just fine. You could probably regrind it pretty thin.
2 things though, you can always remove metal, but can't add it back. Start removing little by little, being careful not to overheat the steel and ruin it's temper. I'm assuming you are using a power method.
Second thing, a really thin blade will actually require less effort if it'd sharp to cut. The only real enemy here is twisting force. Keep your forces in line with the spine and edge, no side to side, and you should be okay.