Thanx for all of the input guys.
I have noticed that after a couple of uses, the bleach does seem to lose it "pizzazz" and changing to some new really seems to remove the chrome much better. However, this time, changing to new bleach had no effect on the grill in question. So, before reaching for my Easy-off, I cleaned, primed and painted over the grill as recommended. Seems like it's got a pretty good "bite". We'll see.
I have since dropped some other plated parts into my bleach and the plating melted away in no time at all. Must have been some super adhesion of the chrome on this particular piece.
Thanx again for the advise