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Marta --
The practices you refer to -- closing one eye when measuring, and squinting -- have, I think, little to do with judging perspective. Closing one eye when measuring is similar to closing one eye when targeting through gunsights or aiming a drawn arrow at a target. It temporarily shuts down the binocular vision so that you can get a linear view from eye to subject directly through your measuring device, whether gunsight or thumb-gauge on a brush handle. Interestingly, most of us have a dominant eye and it isn't necessarily the same side as our dominant hand, and that affects which eye we close when taking such readings.
As for squinting -- one of the most useful and oft-forgotten tools of art -- that also is a practice that has nothing to do with perspective but is used to simplify value shapes, to help neutralize the noise of detail and let you see an overall big picture of more unified value shapes. (By the way, when you squint, all the values look darker, so don't draw or paint them as dark as you see them while you're squinting.)
I vote for two eyes. I've already lost most of the hearing in one ear. If an eye goes, too, I'd be listing pretty severely to starboard and sailing in circles. (Hey! . . . nah, that couldnt' explain it. I still have good vision. Must be something else.)
The Artist's Perspective Eyepatches are in market testing right now. I'll have to await results to see whether to scale up production.
Cheers,
Steven
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