Somehow I couldn't resist testing this. I put a reasonable converter, an RME ADI-8 up against a Tascam CDA500 cassette recorder, and a garden-variety Sony VCR.
The converters were set on 48kHz, using internal converter clock, and levels set to -10dBV so the consumer stuff would be happy (I did test hotter levels, and they didn't like that).
The test file was a burst of white noise (looking at frequency response), then a 1kHz sine wave (harmonic distortion), then a combined 18kHz and 19kHz sine wave (high frequency response and intermodulation distortion).
First I looped the ADI back into itself, using the same unbalanced 12' round-trip RCA cable the cassette boxes would have to use. It performed admirably, with -96dBA noise, less than 0.005% THD (because of the noise, it's tough for me to measure lower), no measurable intermodulation distortion, nice clear high-frequency peaks, and full 20-22kHz frequency response.
The Tascam didn't do so well. This unit can't do double-speed like a Portastudio, but I did use a fresh Maxell II tape. Even so, it checked in with frequency response from 40Hz to 16kHz, 0.4% THD, noticeable intermodulation peaks even with the 1kHz sine wave, and -50/-70dB attenuation on the 18/19kHz peaks which make it practically impossible to measure intermodulation in that test. Noise floor was an unimpressive -57dBA.
With the Sony VCR, it was immediately apparent I had a problem--pretty severe wobble. Reply of the 1kHz sine wave sounded like something out of a horror film. Obviously, a quality VCR (with a new, good quality tape) wouldn't have the same problems I did. However, since this flaw mainly affected the tape speed, I think I was able to infer what the specs would be given a properly operating VCR.
Noise floor, -76dBA. Not noticeable on a mixdown, could be of concern if using for tracking. Frequency response was full 20Hz-22kHz. THD at 1kHz--here is where it gets a little dicey because of the wobble--I think 0.05%, all second order. High frequency sine waves, this is very tough with this unit, I think the 18/19Khz signals themselves are OK, but there are significant, audible aliased peaks at 1kHz and 2kHz.
So, based on that, what are you getting from your VCR (which presumably performs better than mine) that you aren't from cheap converters? Well, I didn't include my Soundblaster in this test, but I've tested it before, and that is probably much worse than your converters. A Soundblaster pretty much has the same results as the Tascam, just not as bad. THD is actually fairly good, good enough anyway, they have little frequency response above 16kHz, and noise a bit lower than the VCR.
So chances are whatever converter you have is outperforming the VCR. However, the VCR is doing something you like, which is probably the small amount of second-order harmonic distortion, a bit of noise to self-dither, and the significant distortion of high-frequency signals. It could be you don't like more accurate high-frequency transients; or maybe some other feature of your monitoring or recording chain makes them sound harsh, so it sounds better to knock them down, fuzz them up, bury them in a bit of benign noise than to leave them as is.
If you like it . . . go with it. I think I would personally save the VCR transfer for mixdown to avoid noise accumulation.