Hi Nick,
The anvil on the Somax is basically a piece of cheap metal--all but pot metal (could actually be). I don't know how well it grinds/files, but here are two issues.
For up to 18 ppi, you can get away with the width of the strike pin, and probably could even higher. Looking straight down on it you would see the sides of the pin is chamfered. But the flat on the end is still a bit wide (1 mm? I forget). I file those down a little narrower.
For the anvil, like the Eclipse, it is a disc with a chamfer which is narrow at the 12 setting (btw, those numbers are an index setting to remember what to reset it to, they do not indicate the ppi/tpi settings), and gradually increases in depth as it goes around the disc to the 1 setting. It is that chamfer which is both too deep across the face (affects where on the tooth the bend starts) as well as how far over the tooth will bend.
So this disc needs to have the face carefully filed/stoned to reduce both where the tooth bends as well as how far it bends in order to do really small teeth.
Now, I mentioned I don't know how well the supplied anvil disc files. That's because I replace them on ours for heavy duty use with a hardened steel one. As sold, the Somax will last a person for moderate use the remainder of their life. I just set and did the final sharpen on 43 saws thus far today (it's just after noon here). That kind of use would kill off the Somax's anvil in short order.
I think a have a half dozen Somax sets around here. I suspect the above is confusing--sorry. So sometime tonight I'll take one apart and file it down, taking pics as I go and post it tonight/tomorrow.
Oh, one more thing. Disregard what some web sites say about what number of teeth per inch the Somax sets are for. Just know that the gold colored one will do saws from 5 ppi to 9/10 ppi well and the blue one from 10 ppi to about 16 as shipped (expecting how far over it bends the tooth on its lightest setting--use light pressure on teeth that small). The only difference is the width of the strike pin (I think Dick referenced above tells the width). The anvils are identical in shape and numbering.
Till later, take care, Mike