I set the two telescopes up after the sun went down and spent an hour trying them out against a few different objects. I used a Celestron 8-24mm zoom and the same Orion 90 degree mirror diagonal when viewing on both. This was totally unscientific and mainly just for my own curiosity's sake.
also bear in mind, I'm a newbie to telescopes so take these comparisons with that caveat. Any and all comments are welcome! I'm here to learn!
Full field Moon w/zoom at 24mm - It was pretty clear that the contrast between these two is dramatically different in their native states. The Tasco had a fair amount more contrast which allowed the moon to pop off the background better. In comparison, the Orion was slightly washed out. I noticed no chromatic aberration on the Tasco, but a significant amount with the Orion along the edged of the moon which also caused the image to feel softer overall. Adding the lens cap stop down mask to the Orion brought the comparison between the two much closer, but there was still a slight CA on the Orion. Kidney beaning and blackouts with the Celestron eyepiece were also considerably more of an issue with the Tasco through it's 1.25" adaptor placed in front of the diagonal.
Closeup of Moon terminator at 8mm - Aside from the brightness, both telescopes seemed to look very much in the ballpark with each other. I could not detect much if any chromatic aberration on the Orion for this test, which really surprised me. Focus and contrast felt nearly identical with and without the mask on the Orion. The eyepiece issues that I was having at 24mm did not seem as apparent with the higher magnification.
Splitting Castor at 12mm to 8mm - Not surprisingly, in their native state the Tasco performed much better than the Orion. The stars were perfectly circular with no spikes and only minor seeing aberrations which I think were due to the atmosphere. The stars in the Orion were much brighter and very spikey with a few concentric rings around the center. You could see the split at 8mm, but it was not readily apparent through the spikes. However, adding on the lens cap mask brought the brightness down to a level that felt just a touch below the Tasco and the stars were easily split at 12mm.
Overall, to these newbie eyes who have never peered through a refractor other than these two, the viewing experience of the Tasco 7te-5 and the Orion Explorer 90az were similar but had some significant differences. The chromatic aberration and the lack of contrast of the Orion were the biggest detractors between the two and despite some more precise eye position needed for the Tasco, I would say I had a better experience viewing through the Tasco. It's also just a really pretty telescope! I can imagine the extra light gathering on the Orion would be an asset for planetary viewing, but for these tests, it did not factor in as the Orion seemed to perform better with the lens masked down.
Well, I can say this was a wonderful learning experience for me, and thank you everyone for your suggestions and comments. It was all super helpful!