Perhaps Bald_Eagle1 will be able to advise you of the information that would be helpful to present to the attending engineer . . .
If you have been saving any terminal data logs, we might be able to put together a series of graphs that MAY highlight changes in conditions such as attenuation (Hlog), SNR, QLN, bit-loading.
Also, If you had enabled it via Maintenance, Log, Displaying Log, you might be able to report all the re-syncs that are probably NOT shown in any ISP logs:-
2012-3-25 9:31:7 Notice 104500 DSL activate succeed
2012-3-25 9:30:45 Notice 104500 DSL deactivate
2012-3-25 9:30:7 Notice 104500 DSL activate succeed
2012-3-25 9:29:11 Notice 104500 DSL deactivate
2012-3-25 9:27:9 Notice 104500 DSL activate succeed
2012-3-25 9:26:47 Notice 104500 DSL deactivate
2012-3-25 9:24:28 Notice 104500 DSL activate succeed
2012-3-25 9:24:12 Notice 104500 DSL deactivate
The best option is to use a combination of "snapshot" graphs & the 24/7 logging graphs as any changes can be seen graphically.
Engineers aren't allowed much time for each job so they wouldn't spend time looking at tables of data, but a picture is worth thousands of words/rows of data.
I would ask to see BT's Network Records that may identify sections of aluminium and the actual route to the actual cabinet.
It waould also be good to ask the engineer for the line length as reported from his JDSU or Exfo tester.
If it is reported as a lot more than the physical length, that would indicate "too much" attenuation.
Finally, depending on the type of engineer, it would be worth asking for a TDR test that should identify issues such as high resistance, tapped bridges, open circuit joints etc.
If this ends up being the first of a number of visits, you could always prepare "evidence" for the next visit.
Without "evidence" it may be difficult to force any furher action if nothing is found at the first visit.
EDIT:
My attached example graph set of a 30 day window is the only sort of hard evidence that is keeping my ISP in the loop after 10 months of ongoing intermittent issues.
I really have lost count of the number of times I have been told LTOK & "operating within acceptable limits".
I do have to thank Plusnet for not giving up on this.
It is just frustrating that it is impossible to get an engineer on site just when the "issues" are at their worst.
BTW, I have not been charged for any of the numerous engineer visits.
Let's hope that your issue can be clearly identified & rectified at the first visit.
From what you have reported here, it would appear that if there is indeed a "fixable" issue, evidence of it is present 24/7.