I've tried to make this point before in conversation in relation to many forms of art and I just had to comment that your reply is very on the money and very concise. Gonna take some inspiration, as I've struggled many times to convey this.
Most people just think that unless the artist "intended it", analysis is worthless.
There's a funny quote about Casanova along the lines of "in his literary work is deep philosophy, and in his philosophical work is incoherent rambling"
Most people just think that unless the artist "intended it", analysis is worthless.