Can a failed Glide Slope also void the Localizer approach?

I had a question today that I've never considered, and need the
experience of the group.



Are there airports with ILS approaches such that if the Glide Slope
component failed or went OTS, the entire approach would be un-executable
by regulation? I've always assumed that with the GS OTS I'd just revert
to the LOC, but are there approaches were the full ILS is approved but
the LOC only isn't? In other words, are there precision approaches where
vertical guidance is required and there is no non-precision alternative?