Yes. My first and only boyfriend was a bisexual and closeted.
He was also paranoid when we went out

Like girl you like me but then why don't you just act normal. Even though he had difficulty to come out due to his religious belief, I still went on to date him to think that he would eventually change his heart and come out. But then after we broke up, he started to post weird religious stuff on his facebook saying gays will go to hell and all

Since then, I don't think I'll ever date closeted guy anymore. But who knows I might be open to the possibility again the future