. . . also could the battery contact and earth be in the exchange? . . .
Yes, it
could be. When a 'frames' engineer was working nearby, a small off-cut of jumper wiring
could have dropped down and partially shorted one leg of one circuit to one leg of another.
. . . also how could it be both earth and battery? . . .
It is highly unlikely to be both. Take it as an example of how fraught with error remote fault-finding by description (without access to the pair) can be. What I heard in your recording
could have been due to an 'earth contact fault'. What you have just described, above,
could be due to a 'battery contact fault'.
Only by showing evidence to your CP/ISP will you be able to convince them to book an
Openreach engineering appointment. That evidence should then be shown to the engineer.
also added the new hlog and qln graphs?
For comparison purposes, you can see the Hlog and QLN graphs for my line
here.