I just tried shorting one, and got over an amp!
It's labelled "EEMB corp USA".
More of a burst, really - it fell down to 0.6A in a second.
For fun also tried a LIR2032 (brand-less), got 1.8A, which sagged to 1.5 after a sec, and it got quite warm.
I feel like they are limited by the shunt resistance in the meter.
EDIT: Nope. Just measured the meter, and it's only 0.1 Ohm.
So i guess it's manufacturer dependend?