your thoughts on wireless signal transmission.

It would be nice if “audiophile wireless” means employing spread spectrum technology, which they might very well. Or some similar technology for suppressing RF and other noise and achieving high signal to noise ratios for signals sent through the air. 

Ok, thanks. It seems not too many of us have experience with wireless signal transmittal. Anyway, for those who did react, it did help me to form an opinion.

I have been running a Martin Logan sub wireless for some time now and see no downside.

My dilemma was that connecting the sub wired I had a nasty ground hum I could not get rid of.

So out of desperation I tried a wireless solution and it worked perfectly.

Would a wired solution perform better on a sub application?

It is possible but I look at it the same as wired vs wireless Ethernet, if you have a good solid wireless connection with no dropouts it should give very similar performance.
YMMV.

REL LongBow permits very fast, uncompressed bass to be sent wirelessly within the same room approximately 45 feet wirelessly. No signal loss over wireless and no additional component required. 

On the recommendation of Duke I am running ordinary 14g PartsExpress wire. I was skeptical. But, Save your money for where it matters, he said, basic wire is fine for low bass. Sure seems he got it right again. Another one of those things where what is so important at higher frequencies just doesn't hardly matter way down low. In any case, keep in mind all the great bass I'm getting is basically lamp cord.

Based on that I wouldn't worry much about the quality of your connection. If your subs have high level inputs then running cheap speaker wire will be cheapest. If they don't you can add a LOC from PartsExpress for about $6. Next after that, cheap RCA. Just don't see the need for XLR, not for this. Spend it something like Blue Quantum Fuses where it'll really make a difference.