Brook, yes, there's a benefit.
If it's the case that the blood levels associated with ongoing use of the doses you plan give you what you want, why have the first week or so way below those levels and the second week just coming up on them? Why not get to them right away?
A big part of why many say "Nothing happened in my first two weeks" is because they didn't frontload.
If you frontload, and are using a substantial dose you ought to see a substantial increase in scale weight by day 4. Usually not so or not anything like it if not frontloading and using the same dose, unless the planned dose is so high that even being at partial levels is good enough.
For example if planning on using 4.5 grams per week (1.5 g three times per week), then just doing it straight, no frontloading, will still give a reasonable start. But most do not use such doses, nor need to -- not even an NPC competitor typically needs that much. I mention it only to be thorough, not because it is often relevant, it isn't.
Mlettier, let's not use 13 days for the half-life of testosterone cypionate as I don't think that is right. Let's use 8 days. Aside from having a literature reference on that (which doesn't prove it's exactly right) it seems in practice to be about right or maybe even a touch long, for example it might really be 7 days.
But using 8 days and let's say your planned rate was 750 mg/week (it wasn't clear to me exactly what you were looking at in that regard, but if that isn't the rate, substituting another number and redoing the calculation will work fine.)
So if the half-life is 8 days and the planned rate is 750 mg/week, the planned average amount of use per half-life is 750 mg times 8 divided by 7, or 857 mg.
If planning to inject that 750 mg as 250 mg three times per week, then the first injection is, or should approximate, 857 mg plus 250 mg. Which would be about 1107 mg. There's no need to be so extremely precise, so for example 1000 mg or 1125 or 1250 mg would be acceptable substitutes.
The amount needed to get to what will be the ongoing level already having been provided, the next injection and all others need be only the ongoing 250 mg injections.
Basically, the first injection gets you right away to where you plan to be, and the following injections keep you there.
In contrast, if you just injected 250 mg on day 1, not only would your levels not be commensurate with the 750 mg/week level, nor would they be commensurate with the 250 mg/week level: they would be commensurate with about the 125 mg/week level or slightly less. So the cycle is starting off with an absolute whimper when done this way. Not the way to go.