After a light sanding with 600 grit, I scrubbed the wood with the bleach, and wiped it dry. I couldn't tell much difference, so kept repeating for a total of 5 times before I noticed it was getting lighter! I kept comparing it to the buttstock, but went a little lighter as I thought it might darken slightly with finish. I stayed away from the horn tip I built as it's epoxy and wasn't sure how the acid bleach might affect it?
Once it was done I set it aside in the sun for a couple days before applying finish again. I gave it a light sanding with 1200 grit, and applied 6 coats of Wipe On Poly, sanding before each subsequent coat, and after the last coat dried, all with 1200 grit. The result is a much lighter forearm that matches the buttstock a lot closer.
Before:

After:
