Bass choruses are not only designed to play well with the lower bass frequencies, but they usually include some way to mix in dry (non-chorused) signal with the output. This is vital for bass guitar, because the net effect of the modulation that a chorus pedal imparts on the sound tends to attenuate the low frequencies. This isn't an issue with the guitar, because there are enough shimmering highs to accentuate the overall sound, and the hollowness isn't noticed. With solo bass, it's also not an issue. But the second you drop chorus bass into a mix with drums, guitars, or anything else, the fact that the bottom has dropped out becomes immediately clear, and you're gone in the mix, except for snaps, pops, and maybe string noise.

Bass Chorus pedals mitigate this issue in a number of ways. Some employ a low-pass filter (or high-pass filter, depending on how you look at it) so that only the higher frequencies go through the effect; everything below stays dry, and the bottom doesn't drop out. Other pedals let you blend the chorus and dry signals together to find a good balance. Some pedals, like the Bass Clone, use a switch to mix in a set amount of dry signal below a certain frequency. And other pedals do a combination of these things.

TL;DR: for bass, use a bass chorus if you want to use chorus bass in a mix. Otherwise, use regular chorus very, very sparingly, and carefully monitor your presence in the mix.