Those words "not intelligible" I'd apply to something from, say, John Cage, never to Beethoven.
And, I can't find a quartet for Beethoven's Opus 19, leading me to wonder if Strong doesn't mean some other Opus 19 quartet?
But if he is referring to the following Opus 19 concerto, I think it's delightful and you can judge for yourselves:
Bethoven's Opus 19, Piano concerto
Here is another quartet in F, Opus 19, but not by Beethoven.
Also delightful.
When I was prepping this entry for posting if figured I would link youtube versions of the pieces so we could compare our opinions to those of George Strong. But I ran into the same difficulty identifying them with all the ones he mentioned. Maybe the numbering system changed over the years.
I think it’s very nice, but I don’t know if it’s “intelligible.” I haven’t done the course on understanding the details of classical music. I just listen to stuff.