First, is there a downside to hooking RCA connectors up to the bare wire ends on the OEM cable and use a preamp output rather than the amp? This would be done only for convenience.
The REL Neutrik Speakon HI INPUT [9] is designed to be connected to an amplifiers high level / speaker outputs.
The Storm III's RCA LO INPUTS [6&7] are used to connect a preamplifiers right and left RCA outputs.
A 12 dB attenuator is available from REL to balance the two inputs.
Alternatively, a high quality Y-adaptor may be employed to connect at either input as system gain characteristics demand.
The XLR BAL LO INPUT [10] is for a preamplifiers balanced XLR output.
When either XLR or RCA low level signal from a preamplifier enters any of the Storm III's LO INPUTs an amplifiers input/output stages, and the REL HI INPUT circuit are bypassed and REL's proprietary Neutrik Speakon terminated cable is not used.
Monoprice or Blue Jeans Cable offer economical custom length terminated cables and Y connectors.
Second, how bad of an idea is it to mismatch these subs, meaning having one Storm III and one Stadium II?
It's not at all a bad idea.
REL "Sub-Bass Systems" have gone from your British hand made Storm to being sourced off shore essentially using the same decades old circuit. REL "Systems" are typically down -6dB before their moderate actual in room response.
Consider companioning your Storm with a subwoofer equipped with low level outputs to daisy chain from your preamps outputs into an EQ and/or the input/output subwoofer, on to your Storm III's RCA LO INPUTS [6&7] instead of any other ST series.
Thirdly, how much of a difference do upgrade power cords make with these subs? Is it worth another $200-$300 each for better cables?
tablejockey, I agree.
In my experience with a Studio III I highly recommend considering some form of equalization such as MiniDSP Dirac, REW, and a calibrated microphone for the equalization and control of most any sub, speaker, and room combination. I found a hugely more noticeable improvement compared to the high level connection and the most exotic cabling available. Good luck M.