Eating The Sair L'Azazeil

The Rambam paskens (Hil Avodas Yom Kippur 5:17) that throwing the sa'ir off the cliff was a form of shechita (d'chiyaso hi shechitaso)? Therefore, there is an issur of "oso v'es b'no" and if the mother of the azazeil was shechted for a choleh on Yom Kippur, the azazeil could not not be used.

The Minchas Chinuch raises 2 interesting points.

1) There should be no tumas neveilah either The Rambam paskens by eglah arufa (Hil Avos HaTumah 3:13) that there is no din neveilah. The question is why teh Rambam didn't mention this by the azazeil as well.

2) Would one be allowed to eat the azazeil. If the azazeil doesn't die after being thrown off, you kill it anyway you want to. The Minchas Chinuch writes you can even shecht it and eat it since it is muttar b'hana'ah. The Minchas Chinuch then is mesupak that even if it died after being thrown off, you could still eat it since the Rambam paskens that d'chiyaso hi shechitaso. This should be similar to melika where you can eat the bird even though shechita wasn't done-the Torah tells us melika is enough. The Minchas Chimuch leaves it as a kasha.