I remember talking to a glass artist who made cold cut crystal sculptures. The sculptures themselves pleased the eye and sparkled with refracted light. However, he finished the conversation with a school of thought which I consider to be incredibly lazy and boring. He told me his work "means whatever you think it means"
I suspect he is lying. I suspect he does actually have a thesis but I can't give him credit for a suspicion. Ironically his work now brings up ideas of dullness and lack of stimulating theory. I doubt he intended his platitudes to conjure up feelings of such mundanity.
I do not try to remove the viewers desire or ability to project personal meaning onto a work. In fact, I think it can endear the viewer to an artwork when they see a part of their story in the meanings set by the artist. It gives the viewer a chance to relate with the artist and it gives the artist a chance to open up. When an artist does not open up and risk vulnerability, he/she alienates the viewer.
I know developed personal stories have always encouraged viewers to delve further into my paintings. Go ahead and make your own stories too. Partner them up with mine. Add yourself to the work with respect and acknowledgement to what came before.