Okay, so I ended up some semi-dark freeform poetry, so I'm posting it below. After it is my point on the Yinrih. I apologize for the unhingedness in advance.
I genuinely believe all this stuff. So here comes my brain.
Now add in the social aspect. Not everyone needs to breed - extra paws to help. Not everyone should be bred with - it must be decided. The drive is distanced.
Now add in the brains. The drive gets even more distant.
Some folks will reproduce, some won't. Some will want to but can't. Some won't want to but can. There's an instinct, but like a monk is expected to always be celibate, not to always feel celibate, so too Yinrih clerics. They are only human (or, sophontish).