Misinterpretation is all part of life. It is what songwriting is all about. Leave enough blank spaces and people can put their own unique OR SPECIAL TO THEM interpretation on the piece. It is all part of the fun.

An artist paints a picture but does not place a written explanation of what his painting represents. He leaves it up to the imagination of the viewer. Most artists do not explain anything.... that is the critics job. He just laughs when they get it wrong.

That said it is up to the writer to provide enough info to convey his message clearly or provide a little info to get people thinking. His choice.

Some might say "It was snowing in the forest"
Whilst others would describe each individual snowflake on each individual leaf.