http://www.amazingabilities.com/amaze9a.html> There are various stages of Yogic Flying. The initial stage is "hopping." The second stage is "floating," and the final stage is "flying." So far, no one practicing the Yogic Flying TM-Sidhi has been observed achieving a stage beyond hopping. Achieving the floating and flying stages is dependent upon the extent to which the practitioner is able to sustain his awareness at the level of the unified field, the level of transcendental consciousness. It is by maintaining one's awareness at this very fine level that one is able to influence the laws of nature to gain support of those laws whereby anything is possible. That is why the unified field is called the field of all possibilities; from that most fundamental and powerful level anything is possible. The author believes that eventually the final stage of levitation (flying) will be a common phenomenon.
This sort of flying comes out of Transcendental Mediation from the 1970s. You are right that this kind of hop is labeled "flying", even though it isn't flying.
However, I think sandworm101's comment of "yogis who can fly" should be read more generally to include levitation. For example, quoting from "Autobiography of a Yogi" at http://www.crystalclarity.com/yogananda/chap7.php (and also mentioned in https://en.wikipedia.org/wiki/Saints_and_levitation ):
> "I saw a yogi remain in the air, several feet above the ground, last night at a group meeting." My friend, Upendra Mohun Chowdhury, spoke impressively.
> ... "How does he remain in the air, defying the law of gravitation?"
> "A yogi's body loses its grossness after use of certain pranayamas. Then it will levitate or hop about like a leaping frog. Even saints who do not practice a formal yoga[4] have been known to levitate during a state of intense devotion to God."
The footnote 4 mentions https://en.wikipedia.org/wiki/Teresa_of_%C3%81vila , who was "said to have been observed levitating during Mass on more than one occasion".
Then there's https://books.google.com/books?id=mSpQAQAAQBAJ&pg=PT26&dq=yo... ("The Autobiography of the Maha Yogi")
> ... It is the law the governs the life of a yogi, (an equivalent to the Arian law of the Buddhits that governs the conducts of the Bodhisattvas) that forbid he yogi to demonstrate his paranormal and supernatural powers in the presence of savages and barbarians, before the public or in front of television cameras. Yet, I am the only living contemporary who ever levitated four feet off the ground in front of a camera. I shall, of course, refrain from ever levitating in public, as a matter of fundamental principle for that would be a sacrilege. Furthermore, like several of my Siddhies, levitation in [sic] an Involuntary occurrence that happens in rare moments of religious ecstasy, perhaps as few as one or two times per year. There was no known yogi in history who has been able to levitate at will and on demand.
That's two yogis who claim something that sounds more than kind of hopping. After all, hopping can be done at will and on demand.