I did some looking around about this issue, since I don't live in AZ, nor am I familiar with the term "disclaimer deed."
I found this answer to a similar question on a real estate website:
"I understand how unfair it sounds and there is a legal theory, which supports an argument that the other party is entitled to something. Here in Arizona, the idea of 'transmutation' from a sole and separate asset to a community asset is possible. Further, any monies your husband paid may be considered community funds- his daily earnings during the marriage. Take the time to speak to an attorney about how best to handle the issue in the divorce proceedings. Perhaps the two of you can construct an agreement without a battle. Good luck."
So essentially, it seems that if he paid to support the upkeep of the home, it may be argued that the home became joint property through the comingling of funds, even if he signed the disclaimer.
I hope that helps.