You can never rely on support reps to escalate UX issues to product teams for a couple reasons.
First, from their perspective if they are able to solve an issue by following their script, even if it took 20 convoluted steps, everything is working normally. People are used to occasionally dealing with workarounds so it's not a big deal in their mind.
Second, it's not in their interest to report UX issues. They are measured by the number of tickets they close, so the issue that gets a lot of inbound support and they know an easy workaround for is nicely boosting their numbers. Eventually these things get fixed by product and they move on to doing the same thing with other tickets.