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    $\begingroup$ It is just a variable change that does not change the number of d.o.f. ;-) $\endgroup$ Commented Aug 27, 2020 at 15:39
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    $\begingroup$ Of course; but such d.o.f. s have permanently moved to the vector bosons, in whatever coordinate system, and do not rematerialize as massless goldstons in any statistical sense. This is the essence of my answer. People often confuse [unphysical] gauge choices with actual, physical, features of the spectrum. $\endgroup$ Commented Aug 27, 2020 at 16:00