Do I have a justified claim for compensation?

[#1]

I saw your thread when you first wrote it up, sorry that it wasn't responded to initially.
It's a really awkward one. I don't feel like we stressed that you must buy a new router in order for us to proceed with investigation, and I know that we skip this step if customers typically don't have one to hand.
At the same time, I appreciate the wording of that could have been better.

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Having read the notes i am unable to determine whether a new router has been tried. If not please could you try an alternate router on the line and contact us back so we can test to see if this has rectified the issue. If not and the same fault still shows then we will need to arrange for an Openreach engineer to attend and test the line.

As for the last sentence, I'm wondering whether or not it's a stock message. Will check for you.
Matty

[#2]

For me, the key words were in two places

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PlusNet eventually responded "I have just completed testing your broadband again, part way through testing i have noticed a fault that registers as being on your phone line. Now although i am 100% sure that there is no fault on the actual phone line, the type of faults only shows up there. It is what is known as High Resistance Imbalance, this usually occurs from a faulty Micro/ADSL Filter or the router itself.

To which I commented above

Quote from: Anotherone

A CSC agent, never mind a trained faults agent, CAN'T possibly know if that is definitively the case. The problem can equally be caused by a line fault (even internal wiring). The agent should have never have given the impression that those were the only possibilities.

Also -

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The response was "A router being too hot to touch can be a sign of it having developed a fault so it might be worth trying the other router, though due to its age, it might not be compatible with ADSL 2+." I knew it wasn't and couldn't see the point in so doing.

To which I commented

Quote from: Anotherone

Wrong. As your speeds were well down, well below the ADSL1 maximum sync rate, your older device should have been tried. As for checking your "sync" speeds, did the agent ever advise you to look at your modem/router DSL stats before and after you swapped things about.  At the end of the day, unless your sync speed is right, your throughput speeds will suffer.

[#3]

Just wanted to share a similar experience. If I had followed my CSA's instructions I would have ended up having to buy a new router, micro-filter, phone socket faceplate and a watermelon before they would proceed with the issue. I happened to ignore them suspecting the problem to be elsewhere, and saved myself about £120. The issue is now resolved.
Just as a word of caution to anyone else in a similar situation, the CSA usually has a lot of tricks up their sleeve to investigate the issue, and I would suggest insisting on completing all of them that don't involve you buying new equipment first.