Absolutely....why wouldn't they? True horror story, though, that happened to me. Before I left for Iraq, ex-wife and I decided to separate. I moved her back to her home town where her parents were before I left for Iraq. We were supposed to be on amiable terms. Since we moved out of our house in Washington the very same I week I had to deploy to Iraq, 99% of everything went with her to Wyoming with the understanding that we would divide it up after I returned from Iraq.
Well, she sold the firearms collection of 16 guns and 1,000's rounds of ammo and the safe to fund her pit bull divorce lawyer that she hired to file for divorce while I was deployed.
So....current wife - yes absolutely all access. BUT, I won't be burned again, if there is a separation, she won't have access to anything. Although I certainly do not anticipate another separation or divorce