For many of us, the film roles offered are not very fulfilling, but pay the bills. Theatre work on the other hand is a longer commitment and pays less in the end, for all parties involved. But theatre may be the art form that feeds your soul and bolsters your spirit. No actor would turn down a well paying day or two on a film set, but many would rather be working on a live show, which may pose an unresolvable time conflict. According to Molly Reisler from Reisler Talent, no.
Good work is work.
Work has value. I back actors who do theatre, television and film. It's better than an actor not working. Ms Reisler certainly has the attitude that most theatre artists want to hear. Be honest with your agent regarding your strengths and weaknesses.