I was told it was better to use a higher w in the winter, not less.
No!!!!!! It's the opposite. If you get the higher W it is a thicker viscosity and thus cannot flow through the engine as easily, especially during start up. It is recommended to use a lower W during the winter and higher W during the hotter days. I live in Texas and it gets pretty dang hot down here, and not that cold so I use 10W-30 on my hoe. If you live up north in the freakin cold then it is highly recommended to use 5W-30 or even 0W-30, especially during the winter.