Hey giosif,
Regarding cooling spray, grab that one: https://uk.rs-online.com/web/p/freezer-sprays/3292707/
We use it in work for thermal testing in R&D. As you are UK based RS should be know to you 
Few pointers: take off original heatsink, apply fresh thermal compound and fit these bad boys: http://3dmodularsystems.com/en/electronic/140-heatsink-for-a4988-or-drv8825-stepper-motor-drivers.html
Then blow air directly with a fan on board during power up and measure CH1 and CH2 voltages. It would be nice to hook up thermistor or thermometer to control how hot it gets and keep Freeze Spray next to you in case of emergency. It can work a bit without case and heatsink, be brave! 
My guess is: due to age and/or bad thermal compound on heatsink pillars heat from Lucent IC's is not properly transmitted. That can affect this IC directly or, due to increased thermal stress, any other component nearby because of thermal drift. But, it's only hypothesis. Would be nice to see pics of these two analogue channels - if you could.
Regards
Hi,
Thanks for the tip on the cooling spray, but it shows up as "discontinued".
In any case, I bought another similar spray, so I'm good on that now.
Back to investigating the problem, I think I need to revise my initial description of it: I am not that sure anymore there is a correlation between the problem and temperature.
I am saying this because, while it is true that, on initial power up of the scope, all works fine (including calibration) and then, after a while, I am starting to get the attenuation on CH1 (and calibration fails), the interval it takes from working to experiencing the issue varies.
What I mean is: if I leave the scope powered off for a long time (e.g. weeks), the first time I power it on, it will take a longer time until the issue starts showing up (e.g. 10-15 mins or so).
If I then power off the scope and leave it off for a day, when I power it back on, the issue will start showing up sooner (e.g. 5 mins or so).
I can't imagine something in this scope taking longer than a few hours to cool down, to account for the above difference.
In fact, I think I might be looking at the wrong side of the problem altogether: I am tempted to think the attenuation I am seeing on CH1 is likely to do with the last successful run of the calibration.
And since I can perform a successful calibration only when the meter has just started (after sitting powered off for some time), the components haven't had the time to warm up properly.
As such, the calibration is relevant only for when the scope hasn't warmed up.
Now, there is a snag to this theory, mainly that CH2 should also behave in similar manner, since the calibration is for both channels, but maybe there is some explanation to that (which I can't think of, at this stage).
So, maybe I need to focus my troubleshooting on the calibration failing once the scope has warmed up.
And the failure message I get when that happens is "Gain" as the reason.
Anyone with any idea where to look for such an error?
Thanks!