My three, I mean two cents:

I'm not digging this "trip-a-let" method because that is not even the correct spelling or pronunciation of the real word, not to mention number of syllables.  If you're going to use a real word, then it makes more sense to at least use a word that actually does have 3 syllables. (my opinion) "1-ta-ta ,  2 ta-ta" seems to work really well, especially due to its "even" and "balanced" sound. (pentameter, or phonetic rhythm as related to the specific letter combinations within each syllable).
I also totally agree with what Bart said about not counting triplets "and-uh".  This could be confusing for
 students due to the similar counting of 16th notes, "1-e-and-uh".

Hey, nudrum said it too!!
I kind of like apple and banana for duple and triple rhyrhms

So, what were you dreaming