Sorry about that. My bad. The Infinity was one of the early 1 AA lights, that ran for days, but wasn't very bright. Again, at those voltages, your best bet is to go ahead and try it with your version of the keychain light. (Check Batterystation CPF supporter for inexpensive CR2032s.)
You could read by the Infinity, or use as a nightlight in a hotel, for example. But your newer squeezelight stomps the snot out of it for brightness on 2 CR2016s. For minutes, anyway. after 1/2 hour or so... The Infinity keeps on, the squeezelight poops out.
If you've only got CR2016s that are still good, you can try the LED on just one of them. It'll give you the brightness of the 2032 for testing.
Good luck and hope you like it here..
Drs the crazed..