Jamey Abersold has a practice procedure similar to your diagrams. It includes playing up the chord to the 9th then back down the scale. You can find that on pages 9 and 17 in this PDF...
He only goes up to the 9th but you could probably adapt the idea to go up to the 13th, or try hitting just the extensions ascending up from the 7th to the 13th.
I think the Abersold stuff is very much centered on horns not piano so a lot of your choices will depend on how you handle the harmonic material over two hands.
Another thing to consider is common jazz voicings for these extended chords especially the 11th and 13th.
The way you have the scale in thirds rather than steps certainly will run through the extended chords, but I think it is more normal to play these chords with different inversions and omissions like with 'Evans' voicings or where 11th chords are given as sus4 chords and look more like stacked fourths.
That's just something to consider. A lot depends on style and the piano texture you want to use.
I personally have only practiced with stuff a small amount, and I only did these chord and scale ascending/descending patterns up to the 9th. My general impression of jazz - and I'm going out on a limb here - is past the 9th, 11th chords get treated more like stacked fourths and rather than true 13th chords add6 chords are the common thing.
The melodic approach in those two cases doesn't seem to involve arpeggiating the full 6 or 7 steps of the chord in thirds. It could still be a good exercises, but may not have a direct application for playing songs. Seems great for technical fingering, learning the whole keyboard, and developing the ear.