Even explosively propelled switches close in microseconds (velocity of detonation ~ 10km/s, closing a gap of say 10mm is 1us). There will of course be a spark along the way, but it is probably the case that the spark isn't efficient enough (it should still be sharp enough though).
The obvious solution to timing, implies that either the devices cannot practically be connected in parallel or series (perhaps as they come apart, the impedance changes too much, shunting power from others?), or that more precise timing is necessary, beyond what is reasonable with transmission lines (or that the transmission lines themselves are impractical -- they may be on the order of single ohm Zo, requiring a rather wide build and being quite lossy?). Or that using transmission lines is prohibitively heavy (since this is typically a flown munition -- not that weight ever trumped strategic value with these things..).
There's also the oblate version, which only requires two detonators and some more precise explosive lenses. That would presumably be even easier to fire with a power splitter and a single source (even if the impedances go wildly wonky, it should be practical to deliver enough excess to complete both?).
It may well be that the engineers involved, took the lazy way out -- reduce stray inductance and put the capacitor and switch right on top of the detonator, rather than trying to transmit power any distance, into any combination of detonators (including just one). Maybe the impedance change during firing is so dramatic that transmission lines above a rather meager length simply aren't practical, let alone wiring in series or parallel?
Not that they needed to be lazy -- they certainly had access to top minds in all fields. Though I don't know anyone offhand in EE specifically. It seems they are rather overshadowed by the more famous physicists, in popular telling of the project. (Checking at a glance, it looks that they're not completely forgotten, and indeed there is collected history, at least in brief, for many (most? all?) persons that worked on the Manhattan project. It would probably be an easy history paper to research, concerning specific professions such as EE, ME, CE and such, on the project.)
Tim