Yes, one of my faults! I get interested in a question sometimes from a different angle to the OP.
And in this case NaOH is so obvoiusly ionised in solution, that the main interest in the question for me, is how it causes the damage.
In the case of NaOH, certainly. As far as I understand, it is very soluble in water (more than 1kg per litre of water at 20 C) and dissociates completely into its ions when dissolved in water.
I think this point is the crux of your question. If an ionic compound dissolves in water, then it produces ions - and see next bit.
I gave my general take on this. You might like to look at this link,
How Substances Dissolve (Just the first I found with Google, but a nice simple treatment.)
I find this a bit strange - maybe true (or not, I don't know), but not helpful. Body fluids already have many ions in various small concentrations; Na+, K+, Ca++, HCO
3-, and Cl- to mention only the most common in extracellular fluid. So ions per se are not all harmful, but the concentrations needed are fairly specific and any imbalance is likely to disrupt biochemical processes. Some ions may be harmful even in tiny concentrations, but Na+ is not one of them. OH- ions are always present in bodily fluids because they are formed from dissociation of water, but their concentration is low (around 10
-7 M ) So the increase in OH- ions seems the most likely source of chemical harm from NaOH.
I would be very surprised if there were not also a whole host of nonionic compounds/molecules which would be capable of doing damage to living tissue. Unfortunately, water is such a good polar solvent, that I am not confident any of the damaging molecules I can think of would remain completely unionised in aqueous solution. The only suggestions I can make are; nonionic surfactants, as present in some houshold detergents (though I think they are irritant rather than toxic) and carbon monoxide, which I don't think generates any ions in water, but would react with haemoglobin to reduce oxygen supply to cells and this could cause temporary and maybe permanent damage to retinal cells.
So I think, rather than claiming ions damage the eye, you should say which specific ions.