It has to be said again---Baldwin DOES indeed bear responsibility, both as the actor who was the final, fatal part of the chain of fatal failure, and as a producer. Negligence, or criminally negligent homicide is what he might be up for.
I don't care if Baldwin is helping police. So is everyone else involved; it means nothing. Absolutely anyone who has ever handled guns and took the safety course can tell you it absolutely IS the total responsibility of the person handling the gun---they ALWAYS MUST check the gun personally. That "Cold gun" thing is nice, but meaningless----Baldwin should have checked himself. By not doing so, he's opened himself up to those charges. And also by pointing the gun AT someone---which is apparently in direct violation of industry standards. It's worth nothing that actors who have been in films with guns say they'd NEVER just take someone's word a gun is clear---and for reasons this tragedy have made clear. Those actors say they'd ALWAYS check themselves. Jeffery Wright even goes so far as to say he'd leave a production where those rules were not being followed.
Here are the rules for gun safety:
https://www.nssf.org/safety/rules-firearms-safety/
Here is one relevant part of those rules relating to Baldwin's responsibility. Note that these are standard and well known rules of gun safety---breaching them as Baldwin did, (and others on the production as well), can be considered criminally negligent homicide or something similar, which don't need intent as an aspect. My gut feeling is he won't be charged; as one LA defense lawyer said, New Mexico won't want to chase off movie production by holding Baldwin and others in the production criminally culpable. In other words, yep, he probably can be charged, but won't for political reasons.
I will note that instruction in gun safety is available at every gun shop in the country, so it's easy to get training.