I've been running sound on small to ridiculously huge systems for over 20 years, and kick drum and break music are the only constants when it comes to subs.
Bass, keys and floor tom get into the subs less than 50% of the time in the real world.
Run your subs according to their published specs re: x-over freq and power. Do not allow anyone to influence you into deviations or you'll be sorry.
Let the content of the music, instruments used and their respective frequency ranges determine what does or doesn't go into a subwoofer feed. I'm not in the "one size fits all" business, and different strokes for different folks. If the artist's music requires certain instruments and sounds to be well amplified in the subwoofers, even if for temporary effect (synth drones, sample hits, etc.) then so be it IF it positively presents and enhances the music. Much depends on the PA system, subwoofers and crossover point to subs. Huge diff between sub content in a system crossed at 120hz and one crossed at 80hz or below. Again, no one size fits all approach IMO. Just throwing ideas out there and JMHO.
I agree that nobody should attempt to run their gear out of spec and in such a manner as to cause harm.