Another view of the 1970 Grumman Design 518 Orbiter model, plus a Grumman rendering of the 518 separating from its manned booster, plus a rendering of the H-33. Let's see if the H-33 has anything in common with Design 518, that would justify identical model numbers.
The H-33 was proposed later, in 1971, during the third contract of Shuttle Phase B studies; it had three, smaller main engines instead of two on the 518; it used a completely different, Boeing G-3 booster and was attached in a dorsal, not ventral, configuration; it was much smaller than the 518 and was not fully reusable. It was considered a stage-and-a-half design, while the 518 was fully reusable. The H-33 relied on two disposable LH2 external tanks (over 25 metric tons ea.) mounted on the fuselage sides, whereas the 518 carried all of its propellants internally -- note H-33 wind tunnel model photo caption: without external tanks. Design 518 had a radically different, lifting body type airframe; it also had a much higher staging velocity than the H-33, and the list goes on. Of course, the anti-glare shields on both orbiters are black, so that could make them "related" projects.
It is, in fact, *not* correct to assume that Drawing Number 518 could be anything other than just that -- a drawing number. The actual item Description in Hesham's document is "Basic H-33 Orbiter Body". It appears just above said drawing number.
Both renderings were lifted off the Internet -- thank you to the forgotten sources.