No they do not think alike. Each has their own method.
Some will detail grade, others will not grade at all etc.
Check each one before hand for their procedures and labeling
etc. No idea also on what criteria they use for designating
a coin that was cleaned. Also no clue to if the person who assigns the grade also does the cleaning attribution or if that is done by another. Other than Anacs it's a crap shoot
if sending in an older raw coin as far as cleaning. PCGS and NGC seemed to have gotten a little stiffer as of late on cleaning but they still over grade coins compared to Anacs.
But then again it's a business so better grade means more money means more business. That is why I am surprised that they are getting more conservative on the cleaning aspect.
Better off to keep a coin around for a while if you suspect
it had been cleaned over the past 100 to 150 years. Like any have not been at one time or another. Unless it sat in a canvas bag all that time. Good luck !