Honestly I don't have that much knowledge in industrial sites, but from what I understand, many industries are interested in directly getting triphased because that's what turning machines need in the end.
I guess if you need 11KV DC for your industrial site, you're likely going to need a transformer anyway, because nobody transports at such a low voltage.
As for medium voltage in general, U=RI. The reason TSOs try to push voltage as high as possible is because that reduces costly power losses, as well as cable temperature, which means you can transit more power without endangering the line and people around.
