Do the two types of T17 develop from different cytokines and cell types? Th17 and Tc17 have different origins

Do the two types of T17 develop from different cytokines and cell types?

Th17 is responsible for bacterias that have moved inside of cells.

LPS trips the tlr4 of monocytes triggering the release of il-1beta which turns Tregs into Th17.

T17 is responsible for viruses that hide in organelles like the mitochondria.

Is Tc17 the same? or does it secrete just il-17

TGF-beta1 and il-4 trigger Th9 to make il-9 which could promote the development of Tc17 from cd8 cells?

TLR7/9 trigger TGF-beta1 (TLR 7/9 are the mitochondrial and nuclear viral DNA triggered tlrs)

tc17 developed from il-9
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3082359/

mast cells, il-9, and viral infections
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4435071/

(the flu as a cytosol virus wouldn't trigger Tc17 but herpes viruses would)