It seems the theory that the brain adapts (neuroadaption) is well studied as it is critical in cataract surgery where the lens is replaced with an artificial one. You may find the attached article interesting which contains this paragraph..
What about a reshaped cornea? Corneal refractive corrections also require some neuroadaptation. “There may be aberrations created by the corneal refractive surgery that present the patient with a visual percept not encountered before,” said Dr. Maloney. But, he said, “This neuroadaptation usually is quite rapid, much like adjusting to a new spectacle prescription.” Dr. Kershner noted that most refractive surgery patients can neuroadapt, and young patients adapt quickly.
If the cornea were to be changed, not by surgery but by a change of glucose in the aqueous humour, then no doubt a similar adaption could occur. In my mind the remaining question is why a change in glucose changes the cornea, or possibly the lens. Either the refractive index changes or due to osmosis or something the pressure of the aqueous humour changes. Either way it sounds more plausible than the idea that the whole eyeball is affected.
As to your thought "if the brain could adjust to a different focus, we would never need glasses". I suggest that the adaption by the brain is to know how to control the ciliary muscles. But if only 30% of focussing is done by the lens, then it doesn't have enough range to compensate for big errors in the cornea.
https://www.aao.org/eyenet/article/new-lens-same-brain-importance-of-neuroadaptation