@aaronventure To my understanding,
oversampling a filter won't remove the zero at nyquist but simply push it further to the new nyquist where nothing is audible (for instance with an OS x2, from 22050 to 44100 if original SR = 44.1kHz or 24000 to 48000 if original SR = 48Khz).
What you call the "log cramp that increases" is simply a zero in the filter design, it's more a drawback due to discretisation of filters rather than something anyone wants.
There no aliasing if you don't have a zero at nyquist, because filters don't produce sound. There will be aliasing only if the signal that enters the filter already has harmonics above nyquist.
To my opinion, if the zero at nyquist is an issue in your design (which I assume it is for many designs) then you've chosen the wrong filter. Some filters are designed to compensate for this issue (I have no precise example in the top of my head except generally for all virtual analog filter designs)
Oversampling is one of the solutions, but to me if the zero is an issue then the filter choice is wrong in the first place
That been said, there shouldn't be any issue when oversampling a filter so I don't know if Hise handles it properly