It'll work but you might not like it.
The reason a good bag is important is to filtre the grog the way YOU like it. In general, though, a wider mesh is more likely to lead to stomach problems, nausea, and dermo. So yes, some people are fine with 200 micron, just as some people are fine with micro or toss n wash. Most people prefer a 75 or 80 micron bag, though it really only matters in regards to what you prefer. Maybe try a few different ones? Or just go with 75 for the heck of it? Whatever you prefer.
Except for cheesecloth, that is universally recognized as a failure. Even an old t-shirt would be better.