“I am merely proving that the Yetzer Hara does have a Yetzer Hara as evidenced from the fact that he desired Chava.”
Adam (presumably) desired Chava,
and he did not have a yetzer hara.
Animals desire other animals,
and they (I assume) don’t have a yetzer hara.
That drive is often referred to as “the yetzer,” as in the
phrase “m’gareh hayetzer,” but does that make it synonymous
with “the yetzer hara?”
(How does that Gemara about the destruction of the desire
for avoda zara go? Are there multiple “yetzer hara”s?)