It depends. There was a good number of folks who were upset when Kyle took over as GL. Remember HEAT? And a lot of people where mad when Barry died. Dan Slott got death threats over Sp0ck.
But you definitely don't get the same level of OUTRAGE when it's a minority/woman taking over. And it kills me cuz Marvel/DC has been doing this since the 80's but it's now that folks want to throw hissy fits.
Black Woman is the new 80's Capt Marvel? Cool. Latino teen is new 2000's Blue Beetle? Whatever. 2000-teens Muslim MS Marvel? PC Tyranny is being shoved down my throat!!