My bobofett light (Inland R22) uses a similar IC and will draw down to 0.5V or less from an alkaleak. It needs higher voltage to start, though, but once it’s going it’ll wring out every bit of juice and pulp that it can.
Output gets dimmer and dimmer as voltage drops, of course, but it’s still hella interesting and useful.
With a LFP cell, it’s quite nice and bright. I wouldn’t try it with a fully-charged Li-ion, though.