I think there's another bit you're not understanding here too.
Cross training, in this context.
The mention I've made could be interpreted in the same way as I've interpreted what
@gpseymour has said.
I'm (we're?) not talking about cross training as in going and training another art in an attempt to augment or change your own art.
What I'm (we're?) on about is using your art against different techniques that you'll never see from your usual training partners.
You're not taking techniques from other arts, you're exploring how to apply your own techniques against someone who doesn't also know them.
You're also looking into what happens when the rules change - how does what you know hold up?
For me, can I take my TKD techniques and make them work under different restrictions? Sure, I can get a spinning heel against a boxer, but can I use the appropriate parts of my TKD under boxing rules?
Can I use the TKD techniques I know under judo rules? If I'm not allowed to kick, can I reapply a block or strike as a grab and takedown instead?
Also, can I look at, say, judo moves and identify things that I know from TKD and see "new" ways to use them?
Quite honestly, I think you're too programmed into the dogma of sparring being bad and cross training diluting your art to have an open enough mind to see the massive possibilities that could become available.