Ooooh. With regard to judging DOF, there is a huge problem with that logic. It violates the basics. Viewing size really matters greatly for DOF.
The CoC limit for DOF is judged for viewing a standard size comparison print. That standard print size for DOF considerations has always been an 8x10 inch print viewed at 10 inches (25 cm). That may not be everyone's standard viewing size, but it is the standard that DOF calculation is designed for, and what DOF calculations report.
Because, when we enlarge the viewed print, we can of course see small detail better and can detect more blur in it. The more we enlarge it, the blurrier it gets, but viewing it tiny will look pretty good. This is the reason why small sensors specify a smaller CoC than a larger sensor, simply because they must be enlarged more to be the same viewing size (of the standard 8x10 inch print). For example, 35 mm film (crop factor 1x) normally has an 0.03 mm CoC, and a 1.5x crop factor camera will have CoC of 0.03/1.5 = 0.02 mm (because it must be enlarged 1.5x more).
Novices rarely know about this standard viewing size aspect of DOF, but here are a few links that mention the 8x10 comparison size for DOF judgment.
depth of field standard 8x10 size - Google Search
The camera rear LCD is certainly extremely useful for judging our photo result. But unless you are using an 8x10 inch view camera, it seems about useless for matching the standard 8x10 inches that DOF calculations are designed for. It is true though, if you detect DOF blur on the small rear LCD, you are way past the limits for a larger print (unless of course you only intend to ever view it at LCD size).