Here is the spec sheet on the diode I have from ebay. Looks really close to yours.
Also I did a really fast thermal test.
I set the diode at .35a and that worked out to 100mw after about 30min of warm up time no tec. The temp stabilized at 100f.
Then I turned on the tec and plotted the power after about 10 min.
At it's min temp it was 73F and 135mw. I then turned the tec off and let it warm back up. It came back down to 99mw and 102f probably a little warmer because of the thermal mass of the hot side of the tec.
SO these really like to be cold.