Not sure if this will help but if it is de-sulphating the battery, it does not run the battery down as far as I know off, it uses high frequency AC to break the crystals down. A high enough DC charge would overheat the battery plates and distort them, and probably short them out, killing the battery.
Have a read of the owners manual for your charger, it should say what each phase does.
Some chargers have what they call an absorption phase, but none that I know of discharge the battery as part of the charging process.
Cheers
Re-reading the first post, it could be a faulty rectifier, if the bridge diodes fail it will drain the battery.
If you now have a new battery and it dies when the bike sits (not on a tender) after a couple of days that's were I would be looking.
I have had a batteries last 7+ years from new myself ( using Battery Fighter Junior brand tenders , as fitted by Frasers in WA on every new HD )
I have also replaced batteries for other dudes well younger than 7 years. Maybe 3 years the youngest.
I do recommend to owners of any bikes I work on to fit one if they're not hard wired already.
Some guys buy bikes used and don't get the actual tender passed on to them, but the bike still has the battery connection harness wired up and they don't know !
It is nearly always "the battery" itself
Once every few years it's a regulator/rectifier , once in a decade it's the alternator/stator
When you get the dreaded "clickety click" 99.9% of the time it's the battery.
As said before in many other posts the genuine HD batteries are as well priced and available as any ( tho' they're made by DEKA anyways)
Other folks have different preferences of course and that's OK
You should be able to test the rectifier diodes, and the stator as well.
As mentioned the battery voltage should come up when the revs are raised, most newer solid state voltage regulators do not let the voltage come up much over 14 volts (if that) , one of the reasons batteries sulphate up so badly now days. However you should measure the non-running charge, then start it up and see the voltage, rev it up to around 2500 and the voltage should come up a bit more.
You will need a multi meter with diode mode to test the rectifier diode bridge, and a wiring diagram would be helpful to get the pin outs.
From what I was told when the rectifier fails it will bleed the battery down pretty quickly, in a couple of days if I remember correctly.
Guys on here who are more familiar with these systems should be able to point you in the right direction.
Good luck mate.
They say with mechanical problems, it usually takes no time to find the problem, but a long time to fix it, however electrical is inverse to mechanical, it can take bloody ages to find the fault, and minutes to fix it when you do :)
Good luck mate, it's not really black magic, it just feels that way.
If you were closer I would give you a hand.
Any update Baloffski ?