Mike, Have you managed to make any progress on this? What did PlusNet say when you went back to them, out of interest?
Sounds like bad advice in the first instance there from PlusNet. Even if you didn't tell them the SNR was still at 6dB, the customer service bod should still have taken more notice of the extreme drop in sync rate, or they maybe didn't understand that you were referring to the sync rate rather than simply transfer rate (huge benefit of doubt given there, I know. I don't doubt that you made it clear it was your sync rate that had dropped!).
DSLAMs can, in extreme circumstances, drop your line sync to the equivalent of a fixed-rate connection, the telltale sign there is the upstream sync would fall to 288kbps there... like I say this is when your line is extremely unstable - and is known as a "chronic flapper" apparently
It sounds to me like you've got a major line problem, like you say in the post title! If it's still the same in the test socket behind the master faceplate, or at least with all extensions disconnected from the master socket, if possible, then it needs referring to BT. Just push your ticket back to Plusnet - it will get passed to BT soon enough... you could even include a link to this forum topic as I know a few of their staff do read this forum from time to time