That grinder looks like a small Space Case as the teeth look same...I have the small 2 piece Space Case....and it looks identical to the teeth spacing.....not going to give you fine grind unless you grind for a a few minutes...lol
Believe me....you have 0 too loose by trying the cheap small herb mill from S&B.
Below is my small SC and the smaller S&B......notice the spacing between the teeth....also the teeth on the S&B are shorter and are wide at bottom and small at top (pyramid shaped).....the teeth are close together and it keeps the flower grinded quick and more fine. 2 or 3 quarter turns and you are done usually pending on moisture.
Plus so much easier to clean the S&B with a quick brushing. You just have to get remove the stems before grinding as much as possible.