For 'live' recording, the best bass tone from a cab is usually a few feet away in front, or off-axis (not always, but usually...). Unfortunately, on the kinds of stages most of us are playing, it's either not physically possible to but a mic there, or, if there's room, it'll be picking up everything else..! Most sound techs, if they're micing at all, will use the DI principally, and blend in a spot of the mic strip if it really adds something. As often as not, it doesn't.
Not quite the same with festival-type arrangements, where there's a much greater spacial separation, pretty good equipment and mics available, a decent sound tech with enough Fx racks to get an adequate sound for the occasion. It may not sound good, however, when solo'd from the console, as we know from listening to some top band's 'live' takes.
It can be done, but is rarely really worth the trouble and expense.