The 3.7in AA gun (94mm) was a pretty good AA gun and most peoples dual purpose or 'triple' threat guns didn't really worked all that well at all three roles, at least not at the same time.
The 3.7in threw a heaver shell, higher than the Flak 36/37 and since nothing is free, it paid for that in weight. The Germans captured some in France in 1940 (?) or other places and thought them useful enough that they made 100,000 rounds of ammo for them when the captured ammo ran low, in 1943. Which points to another advantage of the 3.7in as an AA gun. It had a longer barrel life than the later 8.8cm Flak 41. The Germans got around that, in part, by making the barrel liner in three pieces so only the most worn section/s could be replaced instead of the entire barrel liner.
High velocity AA guns
can be used as field artillery (and the 3.7in was) but you better be pretty sure the enemy air strength is low because such use cuts into the barrel life and barrel life is not
just the number of rounds before thegun becomes unsafe but the velecity gets lower and lower as the gun wears leading to both a lower effective ceiling and worse "accuracy" as the barrel approaches the end of it's life. Accuracy not only in the conventional gun sense but in the fact that the velocity variation is harder to adjust for in the fire control predictors. If it takes 20 seconds for a new barrel to get a shell to XXX height how many seconds does it take a somewhat worn barrel or a barrel a hundred rounds from replacement?
While the FLAK 37 didn't have "no fancy servo drives, no autoloaders no automatic fuze setters and no electronic technicians required" it did have a follow the pointer system in which pointers were moved on dials by electrical signals sent through cables from a central fire control director ( actually a part analog computer) so a battery needed a generator and at least an 'electrician' or two even if not "electronic technicians". There is also a difference between manual ramming, power ramming and autoloading.
Guns used for anti-tank work for long periods of time tended to "loose" things like the "follow the pointer" parts, cable connections and even the "mechanical" fuse setter which made the guns rather useless for AA work except in the "spray and pray" mode.
And guns laid out (dug in) as AT guns were seldom, if ever, laid out in the proscribed pattern the fire control calculator had been built to use ( a diamond or box around the fire control unit) let alone have the needed cables to run to dispersed gun positions.
The 88 was a very good gun and did a number of jobs and did them well but lets not pretend it could do them at the same time/day or even on successive days.
Neither could the British or American guns, despite press releases