They look similar but not the same. It is possible they could be made to work, but it would take some modification.
The factory hook uses one bolt side to side thru the frame, and a second bolt further back that comes up from the bottom and threads directly into a tang cast on the tow hook.
You could potentially drill the frame for the second bolt on the H2 recovery point, or drill and tap the H2 recovery point to accept the factory 2nd bolt that comes in from the bottom, assuming they are the same width. I would say chances of them being the same width are good but not guaranteed.
Another consideration is that it looks like the H2 recovery point comes straight out of the frame, where as the factory Tahoe/Silverado/Suburban hook drops down after exiting the frame horn. Well, that is true on the 1500s only. 2500s come out straight because the body sits higher in relation to the bottom of the frame due to the 3/4 ton frame being taller.
The part you are looking for would not be a terribly difficult fabrication project, but unless you can (or want to learn to!) fabricate them yourself, fabrication time gets expensive. Usually $65 an hour on the low end going north of $100/hr on the high end, and that is probably a roughly 4 hour fabrication project.