Class D amps are preferred for driving subwoofers because they are generally more efficient than Class A/B amps but at the sacrifice of lessened SQ. For bigger wattage demands most users prefer the lower current draw of the Class D units over the larger power input demands of Class A/B amps.
This isn't to say that Class A/B amps aren''t well-suited for sub usage but, like everything else, it has its drawbacks. Yes, your average Class A/B amp will have a low-pass crossover section in it in case the end user wants to implement it in that manner. Additionally more and more aftermarket headunits at most pricepoints except the most budget of units, have their own inbuilt crossovers which make having that low-pass crossover outboard somewhere (whether it be a function of the amp, an outboard processor/crossover of some kind, etc) unnecessary.
Some people prefer the overall sound of an A/B amp over a D....some have found really great deals that they couldn't reasonably pass on, etc etc. There are many varied reasons why someone would go with an A/B amp over a D for their subs.
It all boils down to what fits your needs/budget/preferences the best. Once those parameters have been established it's time to go spend some money!