Dear Mr Wood -
For your information, in all known dialects of English, the phrase ‘snowman’ refers to a figure of a man which is made from snow (something like a statue, sculpture or perhaps golem), rather than a man who delivers snow.
I understand there is room for confusion here, when considering examples such as ‘milkman’, ‘postman’ and pizza boy’. However, ‘snowman’ is very much in the style of ‘wicker man’ (which is not a term for a gentleman who delivers baskets) or ‘iron man’ (which is not a term for either a gentleman who delivers ferrous metals, or a gentleman who works in a laundry).
Before seeking to write a song that seeks to summarise the Anglophone world’s Christmas traditions, one might have thought you would have done the most basic research into what these traditions actually were. I can promise you that none of them involve a snow delivery gentleman “bringing the snow”.
I look forward to this error being corrected in future releases of your popular chart hit.
PS Happy Christmas!