I still don't see the benefit of having a ring of free action. So long as you have good AC, most monsters in Gehennom won't get enough attacks in to deal serious damage to you in the span a thrown potion of paralysis will freeze you. The very worst that could happen would be if you ran into a mind flayer you weren't anticipating because it had spawned right next to you or something, and it throw a Potion of Paralysis, and it got to Mind Flay you in the 1 or 2 turns you're paralyzed.
Unless, that is, you have some interesting stories you haven't told us yet Kc.
I have one:
The troll hurls a potion of paralysis!
The bottle crashes on your head and breaks into shards.
Something seems to be holding you.
The troll hits!
The troll hits!
The troll bites!
The troll hits!
The troll hits!
The troll misses.
The invisible Croesus swings his two-handed sword.
The invisible Croesus hits!
The invisible Croesus swings his two-handed sword.
The invisible Croesus hits!
You die...
Farvel seahorse the Valkyrie...
You died in Fort Ludios with 589053 points,
and 1723 pieces of gold, after 31414 moves.
Killer: invisible Croesus, while helpless
You were level 16 with a maximum of 134 hit points when you died.
In other words, I killed a troll in Fort Ludios, and while I was dueling Croesus, the troll revived and immediately threw a potion of paralysis at me. Croesus killed me in two hits, though I was at about half-health once the troll finished with me.
I never found a ring of free action that game, and it was my first promising game.
The rings of free action are useful for many things, including throwing potions of paralysis and fighting gelatinous cubes. Not having to worry about those annoying floating eyes is nice, too.