I'd look for pitch-changes showing that a whammy bar was used.
Seriously, depending on which Strat pickups are active, a Tele and Strat can sound identical. But it's not difficult to identify this stuff by looking at measurements. An FFT will show which of two clips has less LF energy, indicating a treble pickup versus a Tele's rhythm pickup closer to the neck.
But again, none of this has squat to do with assessing what digital recording can or cannot capture. It's just another straw man.
--Ethan