Meanwhile, did 5 cycles of charging/discharging at 1A.
Depending on how much it was charged (the stop current at 4.2V), and depending on how much it was drained during discharge (first at 1A stopping at 2.5V, then wait for voltage to recover and drain some more current at less than 1A, but with the same Vmin=2.5V limit) measured about 7-8Ah. Logged and plotted the I and V during charging/discharging.
Regarding the bulging, it didn't happen at the first charge/discharge cycles. But at the last discharge, I've insisted to repeatedly drain the battery down to 2.5V, wait for it to recover, then drain again at a smaller current, and so on, until I've drained out almost as much energy as it was put in during the previous charging.
As an effect to over-discharging, at the end it was a layer of about 1mm of gas between the solid body of the battery and its plastic pouch (the solid body of the cell is about 10mm, factory packed in a plastic pouch).
Then recharged it all night (limited 2A and 4.2V max), and until the next morning the charging current dropped to only 6mA, and the 1mm of gas was gone.
The battery looks again like there is some vacuum inside its plastic pouch. My best guess so far is that somehow, this battery produces gases when discharged too much, and can absorb back the gasses into its solid body during charging.
P.S.
All these charge/discharge cycles were made inside the same container, so the magic pot theory is not yet disproved.
