This is a series where thought travels at FTL speeds, people can be blasted to atoms and reassembled, and a magic wave makes planets out of nebulas which also turns a dead body into an infant which then grows to just the right age and some telepathy hocus pocus lets his marbles get put back, and yet people endlessly gripe about blood with regenerative properties?
Seriously?
The issue isn't how silly stuff is, it's the potential ripple effect. Silly, universe changing stuff that that everyone 'forgets' instantly to avoid ruining the premise of the franchise gets elevated to a different level.
In fairness, the recent Khan comic has proposed that the transport to Kronos was pre-planned using a series of relays, a bit like the stargate bridge. While silly, this is less silly and less universe changing than a direct transport because it is more consistent with existing Trek tech and impractical for general use.