Except that the overtones (harmonics, or partials) on open E are much lower than those on a high G. There is absolutely no sound that you can produce from open E (barring popping, maybe) that can't be reproduced by just about any 10" drive unit. You'd need a bass capable of output above the 60th harmonic (which would be approx 2.5k and easily reproducible by a 10). Doesn't happen. If you don't believe me DI your bass into a DAW and run it through a spectrum/frequency analyser. If you want to be triple sure, compress the snot out of it to see there's really nothing there.
Now if you like the zing of new strings or you slap, then yeah, there might be some use for a high-fill drive unit (especially if your main driver is a 15 or a modern, aka subby, 12 or 10), but I would argue that this is still better served with a smaller cone based driver or a dome midrange/tweeter vs a cheap piezo horn (which sound harsh, period, you just don't notice when it's dialed down a bit... note also, if it wasn't for the fact that you're running a bass guitar through it, they can also be really bad for hearing damage - never play high gain lead guitar through one). Compression tweeters are also good because they generally can be safely used a bit lower down into the midrange, but they are also the most expensive option, which is why no cab maker I am aware of uses them (mostly used in higher quality PA systems).