I re-read this book recently. I find something mysterious and even contradictory -- Airl was able to leave her "doll body" and return to the collective in the asteroid belt. Yet, she claimed that the battalion was caught in the death traps and they are still seeking out these individuals...

Do you see a problem here? How was Airl able to escape the death trap? I think that needs some explanation.

I think we also have to presume that The Domain may not be sharing all they know -- for whatever reasons, be that strategic or otherwise.

True. Also wondered why Airl could escape trap yet others Domain forces could not.
Contradictions also in differences in some aspects of history especially where our science is fairly certain. For example the last pole shift.
Wish an RV would be done on the amnesia station locations. Per Airl : “Underground “amnesia stations” were set up on Mars and on Earth in the Rwenzori Mountains in Africa, in the Pyrenees Mountains of Portugal, and in steppes of Mongolia.”

I was thinking the same. How was Airl able to escape?
Also, in many projects Farsight has done, we have either Orion or Reptilian aliens in spacecrafts, leading, while grays, which are sort of bionic robots are there to serve them.
Yet Domain aliens are grey?
Has the Domain been slain by Orion and Reptilians and they are using them as their slaves-workforce?

Also i think ive heard how USA president has been negotiating with the grey we recovered from Roswell regarding tech and whatnot. In the interview, no such negotiations happened.

I dont know, i lean more on the side of believing that the interview book is a hoax while its probably possible that the alien was recovered.

We can assume that since they now have information they can avoid dead traps. Battalion was caught off guard.

But this also does not surely mean that this assumption is correct.

Airl was not telling everything they withhold information's and that's clearly stated in the book.