Why is that? Are you expecting much longer runs in Mexico city than in Florida because of reduced air resistance? And why the anemometer?
Longer enough to matter at least, of that I am certain. Location as well as weather and time of day matter. Today's station pressure in Mexico city is around 77 kPa, Miami's is 101 kPa, 30% more. Someone with the proper setup could test how much of effect this may have on spin time, but if Iacopo's vacuum tests are anything to go by, even smaller differences should be noticeable, let alone this extreme case. I do not know what amount of variation should be allowed, and I am not keen on scaling spin times based on barometric pressure as you would also need to know tip friction losses to do that scaling any justice.
The anemometer is there to pick up external air currents that might provide torque to the top. For example, some EDC top makers I have seen on facebook use asymmetric knurling for left and right handers, which turns the top into a very shoddy wind turbine. Actually, a couple blade of grass or paper might work even better than a budget anemometer, and you can place them in multiple locations.
Even for an unofficial youtube record it would be helpful if we state some rules people could refer to if they try to set some record there. That we can not make sure that they really followed the rules is a different point. It would give the in person contests and records a higher status.
Yes, by unofficial youtube record I meant doing everything required in an official record, except no live witness.
Good but not perfect yet, the top should be checked also for the presence of magnets, maybe hidden motors, or whatever other strange things not apparent in a video.
The idea of a live video call is that the witness can ask the challenger to do certain things to rule out foul play. Such as showing a closeup of the top, showing the underside of the spinning surface, testing for magnets with a compass etc., things that an in-person witness should be doing anyway. But yes, shipping the top off for verification would be more foolproof, especially for checking things such as motors. And most certainly cheaper and less hassle for some people than a flight to the nearest spinning top meetup.