Mostly disagree with your new dept here. It’s true that, if everyone had perfect technique and perfect eyes and perfect senses of touch, PPE would be a lot less important. But people don’t, and reducing chemical exposure purely to a skill issue is nonsense and hubristic. Accidents happen, and by definition there is always some unknown component of R&D that might manifest as splashes, loss of containment, etc, which gloves (and labcoats and goggles) may protect against. Furthermore, it’s not just about one person’s skills; without gloves, one must rely on labmates’ collective hygiene and that there are no spilled residues on the outside of the containers of the chemical containers.

To the point that gloves are ineffective: then the wrong gloves are being used. Glove manufacturers provide compatibilty charts, and SDSs give glove recommendations for more niche chemicals. Nitrile has okay enough compatibility to be the default, but chemical labs should stock other commonly needed kinds.

To the point that it reduces sense of touch, I think the decrease is minimal for standard-issue nitrile, though agree for thicker varieties like butyl which reduce dexterity.

To the point that gloves prevent one from noticing chemical expore, again I disagree. Splash contact for solvents on gloves is pretty noticeable, though different from uncovered skin, and I find it much easier to see chemicals against the clean monochrome of the gloves than my skin. As you mentioned, contaminated gloves should be removed ASAP to guard against breakthrough; without gloves, there is no breakthrough period, just immediate contamination of the skin.

Finally, gloves may protect you from chemicals, but they also protect the samples from you. Skin oils or microorganisms can cause issues, though I have found this more problematic for bio than chemistry.