"safe" the li-fe type of li-ion is concidered safest, the IMR type is the next inline for safe, but the IMR are often found unprotected.
unprotected li-ions of the li-fe variety i would concider "safer" than even a protected normal li-ion, but then again shorted out they are powerfull. li-fe are lower voltage, and much less capacity (this week)
IMR are the next inline for safe, and they are often found unprotected again , they have adequite capacity but not most capacity, and again shorted they are very powerfull.
a "protected" normal li-ion is much safer than an un-protected, protection meaning the added curcuit on them that stops too low of discharge, too high of charge, and shorting.
a good quality li-ion treated correctally, and protected (which is part of treating it correct in the light) is not "unsafe". but then again protected or not it can be inticed into blowing the end off of a zebra or worse.
all of them will hold a charge put into them for a very very long time, until aged or failing.
the li-FE should have the longest Time life and cycle life, the normal li-ion can have a short TIME life from 2years to as high as 10years depending on the quality of the original build of the cell item, assume 2-3years for the stuff people are buying.
a li-fe should cope with 500-1000 full recharge cycles , a li-ion from as low as 30, to as high as about 500. the ones with the low cycles probably the same junk that dont last Time.
the safest thing is learning what to do, how to and not to treat it, following proper procedure, proper charging, and all, for any of them.
might be a good time to drop into the Stickies
http://www.candlepowerforums.com/vb/showthread.php?t=133440
and learn some stuff.
I would be using a good quality protected li-ion cell in that item, just because i am not going to give on capacity vrses safety.
but
before i stuffed any battery on my head, i would know what is going on. check test, meter it, have an idea of its age , build, capacity, any visable damage.
Insure simple things like insulation is on and correct, it fits without crushing it or rubbing or tearing the insulation. and i have a charger that treats it well.
if i experience rumbling or gassing, or abnormal heating, or abnormal light output , it would be removed from my head, and kept away from my person, wherein i will investigate Later.
When i do all that, the chance of it ever being a problem is very very very low.