Both of the eldest primals Zodiark and Hydaelyn are basically "programs". I think it's a bit extreme to call Zodiark a "death cult god" when this is the very primal that stopped events of death happening, and rewrote the laws to house life. The only problem is as with primals one is tempered so being the first primal I'm curious to know if it was an intended or just unintended side effect due to the nature of summoning a primal.

Hydaelyn when summoned may have put in a suggestion that caused her to override tempering "Hear, feel, think" like the creators saw it and wanted that in her "programming" but also may have sacrificed themselves to avoid being tempered afterwards.