And don't forget that there was apparently at least one substantial breakthrough in warp speed since the S.S. Columbia was originally lost. ("And you won't believe how fast you can get back. Well, the time barrier's been broken. Our new ships can--") So even if Starbase 11 was already around 18 years before "The Cage," it may have taken a lot longer than six days to get to Talos IV in 2236.
The timing of this breakthrough is the question, I guess. That, and its magnitude, and yes, yes, the obligatory fanatical devotion to the Pope, too.
DSC now shows ships from the same general era. Some of them are new, some are old, although we still don't know for sure which is which. None display explicit speed advantages or disadvantages, or the inability to go from system to system in the same plot time as in TOS.
But the real issue there would seem to be that the
Enterprise herself
is old. About as old as the launch of the
Columbia, it seems. The
Columbia team being unaware of this breakthrough in speed is cutting it close, less than a decade - unless we assume ships of the
Enterprise type did not achieve great speeds quite from the get-go yet. Personally, I'd now like to assume the type as such is older than NCC-1701, but the high performance is unique to the ships from NCC-1700 on (even if later retrofitted to NCC-1017 or whatnot), and indeed a product of the 2240s.
I'd also like to keep the magnitude of the speed hop small, but admittedly we still don't have good datapoints on how (maximum) warp speeds evolved between the 2150s and the 2240s.
But since the Enterprise was headed to the Vega Colony to tend to their sick & injured instead of Starbase 11, SB11 likely wasn't built or open for business yet in 2254.
Perhaps Vega would be better equipped, though? But when Janice Lester in Kirk's body insists on taking "patient Lester" to the Benecia Colony, Spock plausibly argues that a totally random starbase directly on their route would be the medically superior option, in addition to being closer.
Anybody flying from "Rigel" to "Vega" is already spanning considerable distances anyway, assuming the Trek galaxy isn't labeled totally differently from ours. Why isn't Pike going to some facility that does not sit right next to Earth like Vega does? Indeed, why not go directly to Earth? Is Pike perhaps on a mission to go to Vega anyway, and the casualties are but a minor side issue there?
Or is this place one of 'em Greek Letter Vegas, say, Epsilon Vega? That is, a location unrelated to the star Vega except in the sense that the car make Saturn is related to the planet Saturn. Perhaps the Epsilon Vega dilithium cracking plant is the very closest option for Pike right after leaving Rigel - but a detour to this automated facility still makes Pike take a route virtually never traveled, hence his unique falling victim to the Talosians. Starbase 11 might be just around the bend, but it
would mean an extra six days from where Pike is looking.
(Okay, so automated industrial plants might sound like an odd choice for treating casualties. But Delta Vega still had a "dispensary" and other creature comforts, and might have provided Pike with things his starship was short on.)
Timo Saloniemi