Well, to my eyes it looks like it probably has about the same number of unique lines as a villanelle, which hasn't had an added length stipulation so would just be one villanelle to fulfill the 1k equivalent.

Somewhat relatedly, I've nominated "Poetry - Pantoum," which should probably have a length attached; it also has a lot of repetition but imo that makes it more work, not less.

(I also nominated "Poetry - Alliterisen" which is a seven-line form, so maybe x2 for the 1k? It doesn't repeat like the others discussed here.)