I don't know if this has been mentioned before, but a quarter turn of a die moves the base up or down just a bit over .02. Mine doesn't have a loose connection, it has a stop point. I set my shell holder to touch the die and crank it in another 1/8, and that essentially makes the thing hit the die and firmly press. That won't be able to cause any particular problem, there are at least a dozen places on the mechanism that will be able to absorb the bit of extra pressure. all of the toggles, all of the gaps, etc, a little stretch here, a little squish there, that isn't going to damage a quality steel mechanism.
There is a valid question of what sort of equipment is being used. A sloppy piece of poorly machined aluminum or a tightly constructed iron one? A small unit for standard centerfire, or something built for swaging shells and reloading 50 bmg?
Do people set their presses so that they have an entire round of the die threads turned in after TDC? If a person is running much more than 1/8 or 1/4 extra depth there's more pressure than should be applied to machinery. It depends on the robustness of the press and how long the ram travel actually is.
I noticed that my son in law wasn't aware of the power generated by a press. So, I put a 9 mm casing in a shell holder and dropped the ram with a bit of plywood under the die. Well, you guys know that it punched out a plug just by letting the ram drop. The leverage exerted by the big presses is uncanny.