I checked my CA/PA in my current save - both were 66. However, I've still managed to change jobs quite often, probably because my reputation is almost maxed out due to massive success? My career looks like this:
Blackburn. Won the championship, the premier league, the champions league etc etc ..
Monaco. Won the french first division, looking good in the champions league, but went to Tottenham.
Tottenham. Won the premier league, the champions league etc etc ... signed Messi for £20 million, he's a beast!
Kingstonian. Won conference north.
Holland. For the first time in my career, I won nothing and was sacked!
Newcastle. Currently 2nd in the premier league.
English nationality. For what it's worth, I've found it somewhat easier to change jobs as unemployed. When managing Kingstonian, I sent out applications to every club available, some in the premier league and some in the leagues below. No interest what so ever. However, after resigning I applied to ...can't remember, Chelsea? A major club. But anyway, I was offered the job shortly after. Could it be that being in a minor club somewhat lowers your reputation? I went for Holland, though.