As someone who doesn't like tweeters for bass, I'd say not at all important. But then, that's just my preference. Which brings me to the original question. Our tastes vary widely and what suits us may well not suit you. Good though they are, Barefaced (seemingly a universal recommendation on here - I wonder how many of those who sing their praises actually own/use them) and similar more modern flavoured cabs are relatively unlikely to satisfy your desire for "warm vintage tone". However, something like an old SVT 4x10, which will do that job well, is a pig to move around by comparison. So don't listen to us. Visit a few shops, go to a few shows and try some stuff out.