I get the breaking down of a 5/8 measure into 2+3 or 3+2 and thinking of it as a combination of simple and compound subdivisions, but there's some grooves built out of quintuplet subdivisions where a quarter note still gets the beat, and to me that seems logical to be considered a compound meter. I guess in this case you would still refer to the time signature as 3 rather than 15/8?Jazz is ordinarily written and played in 4/4, with the players giving it a swing interpretation-- the interpretation is usually only written out as triplets or sometimes 12/8 when writing drum patterns. The triplets or compound 8ths are incidental-- they just happen to line up with the swing interpretation sometimes-- the music is natively in 4/4, with quarter notes and 8th notes as the major note values.
I'm not sure a five note subdivision would be called a compound pulse, a theory person might have an answer for that. Normally a 5/8 measure or grouping would be broken down further into 2+3 or 3+2-- a combination of simple (two notes) and compound (three notes) subdivisions.
Once we get into layered polyrhythms, it's always seemed to me like western music notation gets kind of clunky. I usually chart things out on graph paper instead when it gets to that kind of groove.
I get what you mean about the 'interpretation' of the swing sometimes lining up with triplets. So it seems logical to me that other interpretations would still be considered a compound meter, but maybe I'm misunderstanding the definitions.