Somwhow I think I could live with sidechain AND crossover, too. When you compress [rarely but possible] a kick and snare together or any two very different sources, it's very useful to separately compress them.
Scenario: You want to compress the kick and snare both. Sidechain can be useful to filter the frequencies above like 10kHz and under like 60Hz, and the crossover can be put at around 400-800Hz to achieve a nice balance between them. I think that could sound nice and powerful, although regularly it's better to compress kick and bass together.
Cheers!


