In sample/hold circuits from bygone times, it was common to find a bjt upside-down. If, as an example, there was a capacitor that needed 'resetting', the bjt across it had, for an NPN, collector to GND, emitter to the positive end of the capacitor, and base used as usual.
When you do this, accidentally or on purpose, you find that a typical BC547 has a beta of about 12, instead of 300.
Why was this done?
I can imagine saturation recovery time being radically different, but it might also have quite different saturation voltage.