are you asking about this specific piece or about art in general? Either way yes I disagree.
I don't know the author of this work. I don't know what they intended, so I can't comment on their intentions. I don't know if there's an "intended interpretation" or not, I don't know what that intended interpretation is, I don't know if it lines up with the interpretation you described. If the author intended for a specific, singular interpretation, I would reject that; any interpretation is just one of many. Some interpretations make more sense than others, and how a piece is interpreted can easily change from person to person, or even over time for a single person. Whatever you get out of it: it's true that that's what you got out of it.
I don't know the author of this work. I don't know what they intended, so I can't comment on their intentions. I don't know if there's an "intended interpretation" or not, I don't know what that intended interpretation is, I don't know if it lines up with the interpretation you described. If the author intended for a specific, singular interpretation, I would reject that; any interpretation is just one of many. Some interpretations make more sense than others, and how a piece is interpreted can easily change from person to person, or even over time for a single person. Whatever you get out of it: it's true that that's what you got out of it.