If you were lucky enough to get exceptional TV reception, off-air recordings could be better quality than original VHS releases.
That's impossible, unless the original VHS releases were ineptly made, which I doubt, considering they weren't made by a fly-by-night company. An analog TV broadcast will always have RF interference (RFI, AKA: EMI) patterns in the picture. Even if you live next door to the TV station's transmitter, have the best quality antenna and coaxial cable, and ferrite chokes of the proper impedance and spacing on the cable and relevant power cords, you can never completely eliminate it; i.e., the signal will never be as clean as the directly-wired component and composite signals used to make the master tape and the duplicate tapes.
The master tape is made on a telecine machine, which scans the film source, and using 3:2 pulldown (for NTSC) generates a component video signal which is directly recorded on a [typically] Betacam tape (not to be confused with the much lower quality consumer-grade Betamax). The master tape is then used to make the duplicate VHS tapes for retail sale, recorded directly from a composite signal.
For TV broadcast, a broadcast master tape was used, which, like the original master tape, was usually Betacam, but because they usually only did the telecine process once, the broadcast masters sent out to the various TV stations were usually copied from the original master tape, so they had an extra generation of loss in comparison to the original master tape. Then they were fed into an RF modulator and transmitted over-the-air.
So, with an original VHS release, you are getting a second-generation copy (relative to the film source), all made on professional grade equipment with directly-wired video signals. With an over-the-air recording you are getting a third-generation copy, from the lowest grade video signal known to man (RF; it is the lowest grade because it combines the video signal with the audio signal and is always contaminated to one degree or another with RFI), recorded on [usually] a consumer-grade VCR.
Plus you could buy and use the best grade of blank tape.
For one thing, you can count on a VHS release from a major company (e.g., Paramount) to be on very high quality tape to begin with, probably higher quality tape than any blank tapes you can buy at the store. For another thing, even if the blank tape were higher quality, it wouldn't be enough to tip the scales in favor of the over-the-air recording.
Another issue with homespun OTA recordings is that they almost always have tracking issues when played back on a different VCR than the one they were recorded on. Prerecorded tapes from a major studio rarely have tracking issues, even though no one plays them back on the same machine they were recorded on. That's a testament to one of the differences between professional-grade recording equipment and consumer-grade.