Dont now maybe My motor has been replaced with on from an non a/c unit???
By some earlyer owner! Any other way to tell if the motor is from an a/c unit or not beside the went hose???
If I was home and planned to be back any time soon for one I'd measure the actual fan(s) I probably have around. The non-AC (and non HD cooling) fans are shorter than the AC ones, the AC fans are quite a bit taller, so also help move more air in addition to the higher motor RPM.
Looking at your photos however, it appears the new box is the same depth as the AC location where the original fan sat, is that correct? If same depth, and fan *almost* bottoms out on the firewall, probably the correct fan for AC. Normally fan motors from parts stores don't come with the fan installed, you re-use what the truck came with, but if a wrecking yard part, would have been complete most likely.
I was going to say maybe there are some oddities I've not seen, but in the one picture you can clearly see the nipple for the rubber vent hose on the AC box.
Dad ran the AC motor without a vent tube (but with vent tube cutout in fan motor housing) for quite a few years. It did fail, much sooner than I would have expected, but still got years out of it.
Anyone that has gone from a standard fan to an HD heating/AC fan motor can tell you that the HD/AC motors move much more air, if it is a concern for you.