This is more of a problem at smaller schools. At the "majors" (MIT/Harvard/Columbia) such cross-discipline work is unremarkable, if not necessarily common. Stanford, to my surprise, appears to me to be more bureaucratic in this regard.

And very small institutions don't care: they make their own way (and may not be able to afford a huge faculty).

If you're above tiny but not a marquee name then accreditation is vital to your survival. You don't do anything to mess that up!