I guess the story can now be told, but I remember in Silver days guesting a colleague I didn't really like into Galleries South, and rather than taking him through fast track I sent him round what I thought would be the long way while I hopped through quicker.

And of course he arrived before me.

Which is to say you can really overthink these things. The difference in outcome is variable and miniscule, single digit minutes. Just take the route that presents itself.