Hi Zoran,
Humidity may or may not contribute to deterioration of the diaphragm's conductive coating. ML says no-- but it's fair to question that, given ML's vested interest and the number of owners posting about their panels fading.
The coating is vapor-deposited indium tin oxide, which is insoluble in water but I don't know if that rules out corrosion from humidity.
Humidity significantly reduces the dielectric break-down voltage of air, which increases the risk of arcing and also increases the rate of charge dissipation from the diaphragm to surrounding air.
Logically, the bias supply should replenish charge faster than it's dissipated away, so humidity would have to be really high (as in no AC on a hot rainy day) before it's a problem.
A greater concern would be conduction paths (diaphragm-to-stator) due to humidity moistened dust built up along the edges of the spars and edge spacers. This can drain charge off the diaphragm faster than the bias supply can replenish it, resulting in partial to complete volume loss and/or destructive arcing.
I absolutely cringe at the thought of washing a panel with water, but I suppose if the panel is dying, there's nothing to lose. In cases where this actually restores volume, it could only have done so by washing away the aformentioned conduction paths.
That reminds me:
If anyone does wash a panel with water + dishwashing liquid, it's imperative that all soap residue is thoroughly rinsed off, because it's conductive!
Dish soap makes an effective DIY diaphragm coating, which gives excellent volume and it's cheap (attracts dust, though).
Water intrusion from panel washing would tend to corrode the copper foil charge strip. So; I would only advise washing a panel as a last resort.
Since I build ESLs as a hobby, I would just rebuild both panels if I had one fading (it's not rocket science).
Speaking of...
Now that you have new panels for your speakers, I would vacuum them quite often. And you might consider having some acoustically transparent sock covers sewn up.
All of my DIY ESLs have cloth grills front & back.
And BTW...
I would hang on to those old panels if I were you. You might want to rebuild them someday.
You might even get lucky and successfully separate the stators without damaging the diaphragms-- in which case; you could solvent clean and re-coat the original diaphragms with Licron Crystal ESD spray-coat, re-assemble the panels, and enjoy the music.
FYI:
On some ML models, the stators are only bonded at the top and bottom edges, with the side edges un-bonded and held together by the speaker frame.
In all models, the diaphragm is bonded to the rear stator.
At panel top/bottom edges, the component stack-up [rear to front] is:
Rear stator
Rear urethane foam tape spacer/adhesive
Diaphragm
Front urethane foam tape spacer/adhesive
<<<<< (separate panel here) >>>>>
Front Stator
1. Attempt to pry apart and separate the front stator at the forward stator/spacer bond line.
2. If it doesn't want to come apart easily, then use a box knife to cut thru the front urethane foam spacer (close the the front stator to avoid damaging the diaphragm).
Here's a post that goes into more detail about ESL panel construction:
https://www.martinloganowners.com/threads/panel-rebuild-guide.19749/#post-210111