I would call these quotes to be either erroneous or fabricated. However, it is very easy to check.
Could you please provide the quotes with a year, so that they can be check for astronomical accuracy?
I'm getting my information from a book entitled "Mysterious Universe: A Handbook of Astronomical Anomalies" by William R. Coriliss. Here are a couple more references to the occultation anomalies of the Moon:
OPTICAL ILLUSION DURING THE OCCULTATION OF MARSThackeray, A. D.; British Astronomical Association, Journal, 48:126-127, 1938
I have received the following observation of the recent occultation of Mars from Colonel C. B. Thackeray, which may be of interest to members of the Association:
"On July 17, while walking down the King's Road, Chelsea, with two others (unaware of the predicted occultation of Mars), we saw the Moon above the house-tops, with a planet in close proximity. We walked to the Embankment, to get a clear view, and watched it for some time with the naked eye. It was evident that an occultation was about to take place. But instead of disappearing at the dark limb of the Moon, the planet appeared to enter the dark field of the Moon's surface and to continue to travel across it, until it vanished on reaching the illuminated age of the Moon. We discussed this mysterious phenomenon as it occurred. It lasted several minutes. We could only account for it by some optical illusion, which we presumed would be a matter of common knowledge and frequent occurrence, to be easily explained by astronomers. Is this a common phenomenon, and how is it accounted for? There is no doubt whatever about the apparent optical effect produced. It was obvious to the three of us, and it would have no doubt been corroborated by any others witnessing the occultation at the same time from the same place."
I have also heard of two other observations of the same optical illusion. Dr. A. Beer, at Cambridge, observing with the naked eye, noticed it when a telescopic observer could see that the occultation had not begun to take place.
THE PROJECTION OF A STAR UPON THE MOON'S BRIGHT LIMBWaterfield, R.L.; British Astronomical Association, Journal, 33:250-255, 1923
The occultation of Alderbaran on 1922 November 6 was observed with a 3-1/4-inch retractor x 200 under the most favorable conditions of seeing and transparency. I had expected to see the star disappear at the instant at which its spurious system was precisely bisected by the Moon's limb. Instead, however, the star appeared to pass completely on to the Moon's surface and only disappeared when its first diffraction ring was completely within and, as far as I could judge, just past the internal contact with the bright limb. The disappearance took place instantaneously without any previous diminution in brightness. Immediately afterwards the focus was re-examined on the moon's limb and found to be perfect. Since the radius of the first diffraction ring in a 3-1/4-inch telescope is 1".1, the projection observed was probably about 1".2 on the celestial sphere, or, after being magnified x200, 4'.0 at the eye. It is interesting to note that the Rev. T. E. R. Phillips observing with a 12-1/4-inch reflector also, at the occultation, observed a projection of the spurious disk and the first diffraction ring.