Thanks for the reply. Perhaps I should have said "continuous."
Again, from the (admittedly old) books I last read, the travel of the particle was continuous down its "path." It's just that relative to our frame of reference, time & space as we perceive it, the particle experienced space differently. There was a chunk of space that we perceived (& we would have to travel through to get from Point A to Point B) that the particle didn't have to travel through. For that particle, that bit of space simply didn't exist.
And, just FYI, after I got my engineering degree & studied subatomic particle physics (general dynamics) with graduate studies in stochastic systems & probability theory, I went on to a lifetime of studying cosmology as a "hobby."
All of which makes me wonder... you correctly point out probably theory & the uncertainty principal, & it makes me wonder if what was observed wasn't tunneling at all? What if it was purely wave equations & probability? Which is why it wasn't "continuous" (instantaneous)?
I'd have to look at the width of the "barrier" & the energies involved & do some math ... just a late night thought.