I've got the Temperance Axe, but I never use it and I have to disagree with you. I can charm any pet in the game with no problem with AFs and an Apollo Staff. Black mandies in the tree? Not a problem. Slimes in the mire? Not a problem. I've never met a pet I couldn't charm, at level 75.
You can disagree, but it's a fact that for a roughly EM crawler in MtZ the Gauge changes at ~+30CHR. Cadaerva Slimes are 65-69. If you want to use a slime at 75, you're looking at Mountain Clots which cap at 75, and are going to need that CHR. I never worked much with Black Mandies (I levelled 71-75 in Sky), but I thought they didn't have the same resist trait as the white ones...
As far as TP generation is concerned an off-hand Temperance pretty much outperforms everything because of it's high double attack rate. I used mine mainhanded levelling, and it totally outperformed my Maneater TP wise (but of course the WS was weaker and I gained hate a lot easier, which were two big negatives solo...)