Hi can you explain a bit more what problem you are trying to solve. as best as I can make out, you have a glass bed, and inductive sensor?
How thick is your glass bed? If its 3mm or less, then make sure you power your inductive sensor on 12v or 24v and place aluminium foil under the glass, then there is no need for metallic discs, you can probe anywhere, albeit with an x and y offset.
If you have a microswitch (see Russ Gries post about sensor accuracy) it turns out they are very accurate. Make a mount to place one directly under the nozzle and just affix it for probing, measure the offset afterwards and you're there.
Probing only 4 points is only going to resolve your delta autocalibration to 3 factors which is not great, for 8 factor autocalibration you need to probe at least 9 points. You mentioned piezo in your post, I won't spam it too much, just enough to say you can try to achieve a reliable, accurate probing system with inductive sensors all day long, and you won't get close to piezo contact sensors for accuracy, reliability and convenience.