I believe many people over-think this. When one fully realizes how GH builds muscle tissue and how the hormone resposnible for this growth functions in the body, it becomes relatively simple. As you know, the GH molecule itself does not result in any growth. It is the accompanying increase in IGF-1 that is resposnible for the growth we see when using GH. When an injection of GH is administered, IGF-1 levels start going up almost right away and will peak after a few hours. Unlike GH itself, once IGF-1 levels have peaked, they remain there for a couple of days before they finally start declining. Since levels are maintained at a fairly steady level for such a long period of time, when we administer it is MUCH less important than how MUCH we administer, when it comes to growth (fat loss is a different story).
In this way, it is very much like an esterfied testosterone...once you jnject test enth, it will remain in the system for a few days before levels start to decline. For this reason, it doesn't matter of we inject test enth right before a workout, right after a workout, or the day after/before a workout...as the test will still be at near equal levels the entire time. In the same way, if we inject GH the day before a wrkout, 10 hours before a workout, or 2 hours before a workout, it doesn't really matter in terms of growth, as IGF-1 levels will remain elevated throughout the entire period. It is important that we don't let allow much time to pass between injects...or levels will flucuate to wildly, but a 3-4X per week injection schedule, injected on an average of EOD, is completely fine. There is no meaningful advantage gained by injecting GH right before or right after a workout, assuming the person is maintaining a injection frequency of at least 3-4X per week, as this will maintain your IGF-1 at fairly consistent levels all week long, with only very minor flucuations.
All this stuff about perfectly timing GH injections (for mass gain) is a bit ridiculous, as it doesn't take into consideration the mechanims by which GH causes growth. Now, like I said previously, when using GH for fat loss, the entire picture changes dramatically.