Thoughts on fraying everybody?
Fraying is very difficult to eliminate on braid, but is it a problem?
If the braided loops are supplied a bit longer, you can slide the sleeve down to the length that suits your personal preference (we have established that some folks like their braided loops short and others would prefer them to be a bit longer) snip off the excess braid behind the sleeve (by fraying the braid up to the sleeve and snipping) and then slide the sleeve a smidgen further to finish it off.
Here's a twin walled braided loop, made as above, snipped to desired length behind a silicone sleeve.
Nothing new - but this is all about keeping things simple and reliable.