Actually a cone midrange is more useful to me than a tweeter.
SWR Baby Blue is my favorite example, it fills out the highs above 5Khz where most bass drivers roll off without going supersonic plus it's warmer than the typical horn tweeter. Although I sold my two Babys, I still think of them as one of the best sounding bass cabinets ever made. I'm curious how close those Aguilar cabs made for Jack Casady (former BB user) sound, never seen/heard one in the flesh.
EV made some "VMR" cabs with a cone mid during the 1980s, one or two EVM 15L plus the mid. I really liked those, a huge punchy bottom with smooth upper mid extension.
Once a few companies (SWR being the first I can remember) started adding horn tweeters, the competition all had to respond. Many of them just used the same Foster (Fostex) part that SWR chose.
My current most despised tweeter is the one on my GK MB115, which is poorly integrated with the woofer. The resulting hiss from the amplifier is way too loud even with the EQ set flat.