It is interesting that it doesn't ruin the perception of the music, but it certainly isn't accurate and it is easily discernible from the clean version.
Is it "distructive"? Well not per se, but as you allude to the final effect and perception will depend somewhat on the material and the system.
30% and equal level up to 5h is very high distortion, even in the bass range, measurement-wise we would say that we have exceeded the capacity limit of the system.
On pure sinewave detection level for hd is similar to the situation at higher frequencies, but no instrument produces pure sine waves. It can be generated, and some odd productions may have such signals - anyone? examples?
Say we reduce hd to 5%. Still quite high, but now it may be very difficult to hear it. The larger bass-systems can have around 1% thd down to around 20hz, at quite respectable output levels. Distortion from walls and objects vibrating in a room makes it hard to get much lower.
Distortion in itself is not the problem in the bass range. Linear faults in time and frequency domain is by far the most difficult to fix. Capacity IS a real problem, and this also is connected to distortion. When limits are exceeded, transient peaks are lost and you soon get more distortion - >100% - than whatever is left from the original signal.
For full-range speakers, distortion in bass will affect the rest of the frequency spectrum, and modulate midrange frequencies. If bass is removed from the speakers that reproduce midrange, sound quality will be much better, and even if the bass-system distorts quite heavily, sound quality can still be experienced as quite acceptable.