I don't have Chrome Flesh in front of me, to see the exact wording of Boosted Reflexes. But the impression I'm getting is that it's not some foreign body being implanted into yours. It's a genetic alteration making your body respond differently.
In which case, Regeneration isn't going to try and purge it, since it's "a part of you".
Basically, when it says "Boosted Reflexes may not be removed once installed", you should take it at that and walk away.