Yes & no,
Yes the fuel goes through all nozzles most of the time, except idle,
No they do not fully control how much fuel the engine sees at all times,
The terminology with mechanical injection is a little different, & a guy that is used to tuning a carburetor has to just about throw what he knows out the window, or revisit both theories at the very least,
Mechanical injection does just that, "injects" fuel, rather than allow fuel to be "drafted" in, like a carb,
Technically the hat (air control on top) combined with the barrel valve (black square block on the lower front corner of the hat) & hat nozzles is referred to as the "injector",
The barrel valve controls both fuel flow & return, inside the BV is 2 main components, the spool & the pill, on the outside is the shaft of the spool (with a mechanical link to the birdies), a couple delivery fittings & the "idle bypass check valve"
The pump is going to move X amount of fuel, (This pump is a Enderle 110, & I believe it is 13.4gal/min at a set RPM) that's going to deliver fuel to the BV, at idle fuel is restricted by a slot in the spool, the size of this slot & the amount exposed to the fuel passage combined with "flow/pressure at idle" determines how much fuel goes to the "nozzles" & into the engine, the rest is directed through the "idle bypass check valve" (which is set to 5-7psi), this pressure crates a constant of sorts, & force fuel through the slot in the spool,
Also worth noting, there are two sets of nozzles, one set in the hat, & one set in the intake, (Port nozzles) Each set has their own distribution block, for the hat this block is normally mounted on the back of the hat & fuel flows freely from the BV to this block, The Port nozzle block (on mine mounted at the back of the manifold) also gets fuel from the BV, but it has to pass through an 8-10 psi check valve first, So at idle (5psi) there will be no fuel going to the ports.
Now during acceleration, the slot in the spool is tapered so the more you open the birdies, the wider the slot gets allowing more fuel to be delivered to the nozzles, kind of like an accelerator pump on a carb,
At a set point the spool goes full flow to the nozzles, blocking off the idle passage, with the idle passage blocked off, & the spool wide open, it's sending everything it can to the nozzles, & with pressure easily exceeding 8-10 psi, fuel is also been fed to the port nozzles,
This is where the "pill" comes in, the pill or "Main bypass jet" is a changeable jet that is in the return circuit, so if the engine is running lean at full throttle, you put a smaller "pill" in it, forcing more fuel to the nozzles, if it is running rich, you would put a bigger "pill" in it to allow more fuel to return to the fuel tank, (backwards from a carburetor right?)
In short the Injector, (Hat & BV) along with the pump, determine how much fuel is going to the engine, the nozzles, & distribution blocks determine where it goes in the engine, they are tunable (different sizes) & used to dictate how much goes through the hat/blower, how much goes to the ports, & even how much goes to each port,
On my setup the Hat has six .054 nozzles, & two .050 in the back of the blower, (these also serve to cool the blower). The ports are stepped down in size from front to back, front cylinders are .046, next two are .044, then .042, & finally the back two cylinders are .040, (this has to do with the blower being a front discharge/retro blower)
Believe it or not, that is the extreme basics of the whole deal, to get more in depth a guy could talk about idle tuning, (both adjusting the mechanical link between the BV & birdies & how far the birdies are open at idle). Or even "high speed bypass" which is another bypass pill to dump more fuel back to the tank to lean out the top end out, kind of like a power valve on a Holley.
Sorry if "yes & no" would have worked for an answer,