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hm yes. The core problem is that with tagging we are already in hmode. One probably will have to put all the code from \@begintheorem into a \deferred@thm@head again, but I don't think that I want to struggle with amsthm now.
With pdflatex or xelatex but not lualatex, a
\label
after an amsthm theorem produces extra horizontal space.This is fixed by putting a
%
after\label{foo}
but this shouldn't be necessary.The problem doesn't arise with the kernel
\newtheorem
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