I think you're missing the forest for the trees here.
Your Wizard gets frogged. Your Wizard gets their turn. Sure, they could wait on spot and let the Monk un-frog them...or they could just un-frog themselves, freeing up the Monk's action to do something way more productive.
Being able to take a real action with your Frogs (even if it's just a status cure action) is pretty cool; it basically gives your party an extra turn.
On the one hand, I don't see unfrog as an actually meaningful bonus to a frog. It's a nice bonus, but it is neither keeping you from getting killed as a Frog before you can cast it on yourself, nor is it anywhere near the only fix to Frog. (...)
On the other hand, it is unique as a trait, so whatever, I respect how you feel there.
Nope, pretty much getting where you're coming from exactly, here.
It just requires a character with a specific action command to be hit with a specific status. At which point, after being inflicted with a status that increases damage to them, mind, meaning the AI will like to hit them if I'm not mistaken, they can cure themselves after a charge time. While charging, damage to them will be increased, and IIRC, this stacks with Frog.
It's neat, and occasionally useful, but...major deal, no.
Frog is pretty cheap. Not like...40 JP cheap, but if you're spending a lot of time in Wizard, at some point 150 JP is going to add enough versatility to be worth-it.
Long term, yeah. Short term priority though? It's half the JP to an L4 and the entire JP of an L2.
I mean, objectively, you're right, you probably should prioritize Frog over something like Flare(where it's relative cost is one-fifth of the way, and only delays you slightly in a relative sense), but people tend to care more about what the spell *does*, not what they can do with the spell.
I'm having a hard time explaining this, but basically, from how I've seen other people play... things like Poison for utility are impulse buys, because it's one or two actions worth of JP. Things like status or damage you highly value are long term goals. Frog's sorta in the middle-most people don't value the spell it's self very highly, despite it's obvious situational use(particularly early), and it delays their progress significantly towards something they value.
This isn't really true of me-IIRC I did in fact grab Frog pretty early in LFT-but in my case I tend to value having many options over a few really good ones, and in my experience this isn't true of most people (And there's a good argument for it being non-optimal play, honestly.). Perhaps that's a false impression, though.