everything is an art
Art is a skill that is attained by study, practice, or observation.
Science is a method of study, practice, or observation.
To quote an earlier post of mine

To become a tracker, a successfull tracker, you have to employ scientific method, even if you don't know what it is
If you're not aware of the scientific method and its five elements, its easier to fall prey to bias and other pitfalls and reach erroneous conclusions -- this is where "spirits" as are accepted an explanation :)(i'm not implying anything about tom brown , I've only read a few articles by/about him)

in a similar vein, when tom brown talks about almost imperceptible signs which he can read using his human eye, that you only develop through decades of practice ... this could be entirely his bias -- the human eye is not great at minute measurements

can tom brown jr tell if the person he is tracking has a cold? My position is that he might be able to guess, some of the time, if the person sneezes while slowly walking across some mud, maybe

can tom brown jr tell if the person he is tracking is feeling weak? I say that person might have sand/gravel in his shoes

now you wondered about artisan trackers versus scientist trackers? just wait until there is a smart-phone app for that!!

I hope that clarifies some thoughts for you