I think that the snowflake pattern doesn't carry any other patterns, so if you breed snowflake to snowflake, you can only get snowflack or appaloosa roan, commonly called varnish roan (starts solid colored). I think on the spectrum of appy color, snowflake is "one up" on varnish roan, but I can't remember for sure. You can have a varnish roan that is homozygous for the appaloosa gene, it just means they didn't get a pattern gene.
Appaloosa breeding is so tricky because the foal needs to inherit two genes to express the appaloosa color. One the appaloosa gene that "switches on" the color for the pattern gene, and two the pattern gene (snowflake, blanket, leopard).
One of the reasons Miniature Horse appaloosas do not breed as "true" as the full size apps is that hardly anyone breeds appaloosa to appaloosa in the Mini realm, a lot breed to solids. The more appy to appy breeding in the background (pedigree), the more likely the offspring is to have those pattern genes! Second reason is Miniatures can (not all have it) carry a suppression gene that minimizes the expression of the appaloosa pattern. For example, I owned an almost solid black mare, she had no appy markings unless you clipped her, then you could see spots mixed in her coat. She had no mottling, and no roaning, no striped hooves. But bred to a leopard appaloosa she produced a true fewspot filly! Couldn't tell visually that she was an appaloosa, but she proved it by what she produced. This is why I'm so eager for the test for the appaloosa gene! She was appy bred, just had that suppression gene going on, so you couldn't visually see she was appaloosa.
I think that's why I stick with the appaloosas, even as they discover more of the genetics, it's still complicated, and you never know for sure what you will get! Breeding for pinto is too easy, LOL!