I'll try and sum up.

1) Yes a WH stablizer could work, but it absolutely should remove mass limits (as in total mass), as the biggest issue facing whs in the future is unlodgeable concentration of capital ships (not frickin' ABC ore)
2) Stable WH-Hisec links would be bad due to to the ease it would make WH logistics and hisec invasions.
3) Stable WH-Null links would be a disaster as it could make a deployment across the galaxy doable in two jumps.
4) Stable WH-WH links would be a good addition as it could let growing wh alliances create 'webways' of their own design to expand their resources and/or launch large invasions into rival wh alliances, but these expansions would be tempered by the fact their tenuous networks could be severed indefinitely (or until a new link is found) with their assets stranded if they left them there, while simultaneously allowing for a reduction in capital buildup.
5) Stable WH-Low links could be interesting as it balances a stable link for WH groups and empire against the local pirates that this activity would draw in, or an enterprising piracy group to invade a specific wh system proper that can't be arsed to destroy the stab.
6) The real challenge involved is to make these stabilizers (I liked the term "Hypereuclidian Dilater" myself) vulnerable enough to attack (much softer then an SBU) for the average small wh corp, while allowing the stab's owners a fair chance to defend their structure against a larger one, all while keeping structure grinds and tz wars outside of w-space which I can hope everyone else agrees upon. I could never figure out a satisfactory solution, which is why I never made this thread myself.