there is no such thing as an "utterly reliable" .22 LR because
Way at this point I would choose a 22lr semi-auto. Even with "restrike." Restrike hits the same spot on the rim and rimfires usually fail because the primer isn't in the spot hit by the firing pin.
With a double action revolver that has proven reliable with the chosen ammunition in the past, you can be pretty sure you will at least get capacity-1 shots by just pulling the trigger. For an 8 shot LCR that is 7 shots. Not terrible.
Additionally, even if they close the revolver is more likely to continue shooting once the wrist is angled etc. Firing any semi-auto with your wrist bent as is common at very close ranges frequently results in "limp wristing" malfunctions. Worth figuring out a way to practice those shots if you can. Very few ranges look favorably at holding the gun low and shooting across your stomach at belly button level and obviously not using the sights though.
It will probably be close no matter what. When it gets close and serious most people either curl up in a ball or start using whatever is available to them for defense until disabled or exhausted. A rock, stick, the pavement, their nails, teeth, forehead, office supplies, furniture, whatever. If a knife is handy...
There are a lot of close situations where, even if carrying, pulling a gun wouldn't be the best. It takes a lot of training to use a pistol at "on top of you" ranges with reliable results.