Not exactly correct.
Squeezing will get more sugars out of the grain/sweet-wort mix in the bag as more sweet-wort of the same specific gravity flows into the kettle.
More sugars in the kettle can lead to a higher or lower OG depending on the boil duration.
The OG is the gravity when it gets to the fermentor not preboil.
Squeezing and tannins/astringency requires a ph above 6.0 and a temeprature of 170F+.
Someone posted an article about a commercial brewery using a press to squeeze their mash's spent grains to extract greater volumes of sweet-wort.
Alaskan brewery
Same idea, no problem. I guess most commercial breweries will use some form of centrifuge to maximize lautering efficiency which is what a squeeze acomplishes. A centrifuge would negate any benefit of a squeeze. This is conjecture on my part. I have never been to a commercial brewey but reckon efficiency is a major priority.