Edit to add one downside I forgot to mention: It's been a long time since I used a non-portable mac. One annoyance of the mini is that I feel like I'm being asked for my password every 6 seconds, which is much less of an annoyance on a portable because you have the touch sensor.
Why go for Air tho ? Pro looks like a better device (better screen, better battery, same dimensions) and it's marginally more expensive.
Air has a better form factor (no sharp edge under wrists). Better keyboard (real top row). Both have essentially the same specs. Battery life on both is an overkill. Active cooling makes relatively small difference and kicks in only in long workloads (longer than a reasonable build should take).
I can't judge the battery - but it's for sure going to stay useful for longer as capacity degrades.