Most clubs I’ve been to use weak links at both ends of the rope (about 20% stronger at the tug end), so add release mechanisms at each end and you’re pretty well covered. Exception being sites where the immediate land-out possibilities are bad enough that you’d rather overstress the structures than be exposed to a certain crash.
So is low tow taught to students on your end just to train piloting skills in aerotow like 'boxing the wake' etc.?
In the UK, yes, plus dual tows. As Jim says, standard practice for a failed release is for the tug to dump the glider with ample height for a circuit and landing. Tugs mostly land with the rope attached, so following that profile should see the rope clear of obstacles. Not that it matters that much as in the extremely unlikely event of it getting stuck it will break...