Some of the CA blooms and looks like a spiderweb when they dry on acrylics, one tiny drop will tell in about 10-15 minutes I use a Med thick so I don't know what common brands do, I am pretty sure I remember the Super Glue brand does, it has been a few years since I did tests...
Where your break is and how it touches the wedge it should actually hold... You never really know till you try :)