No, because people may want to use the browser find function for their own reasons.
Can you speculate what one of those reasons might be? Since in speech and braille its results can not, afaik, be accessed?
I like Joseph, don't believe in blocking app specific functions with a screen reader.
Well, I've already made my argument about browse mode effectively not being the browser, which is why in this rare case, I don't agree with that view. I won't rehash that.