Come Out Already!

I’m a cute, professional gay man in my late 20s, suddenly single after a two year long relationship. The problem was my boyfriend refused to come out, claiming that he wasn’t gay: that he was straight but just into me. That was fine enough for a long time because I loved him and wanted to be with him, but it became a big problem eventually because I already came out a decade ago and have no interest in hanging around the closet door waiting forever for him to come join me on the outside. I also let it slide because he’s Arab and wanted to respect the cultural differences but it wore on me and eventually I had to give him an ultimatum: be real about our relationship or split. We know how that conversation turned out. Was I wrong? Should I have been more understanding? I miss him and am horny as all get out but the random hook up scene is not making me feel any better.