Sorry, haven't done that job. Just appreciated your humor. I don't know if that "spring" is under tension or not. Maybe it just locates the sway bar in the proper fore/aft position? If it were me (and it will be, sooner than later), I would just mark things where they are, and then start removing the sway bar bushing bolts, paying attention to staying out of the way in case it really pops off with some force.
Looks like you have a jack or a jack stand where that spring connect to the end of the sub-frame, if I understand those pics correctly. So, this spring is connecting the end of the sub-frame to the body. If you're supporting the sub-frame, and therefor the body on top of the sub-frame, then I don't see why this would move a lot when the bolts come off.
I'm sure dozens of members have done it and can give actual advice.