Can a paradiddaloid have a rest as one of its patterns?

Sounds like a trick question. Let's see if we can come up with a plausible answer.

Previously, we ran into a roadblock in Is the paradiddle the simplest paradiddaloid?

If we simply rest the left hand in a paradiddle, for example, we create a paradiddaloid because Pattern A (a tap) is distinct from Pattern B (a rest).

This paradiddaloid meets ALL of the criteria that we have established – it is at once a visual, sonic, and rhythmic paradiddaloid. Do we have a new contender for the Simplest Paradiddaloid Award?

Strangely, we can even imagine a silent paradiddaloid in which Pattern A is an eighth note rest and Pattern B is a sixteenth not rest:

We could argue that the notation alone makes this a visual paradiddaloid. Do we have a new winner?

In conclusion, it would seem that the answer must be yes – a rest can be one (or even both) of the patterns used to make a paradiddaloid.

But here's a more pressing question:

Is there any practical reason for it?