Growing up, I thought yarn was just yarn. I was perfectly happy with a big skein of Red Heart and my crochet hook. Then I learned more about yarn and dyeing and I became a little snobbier. I do apologize for that. There is absolutely nothing wrong with Red Heart yarn and a crochet hook. But I maintain that if possible, there are better yarns for tapestry weaving.
Knitting has been very popular over the last decade and yarns made for knitting are everywhere. There are so many indie dyers out there creating incredible yarns that it is hard to resist them when it comes to choosing yarns for tapestry.
But resist you probably should.