Leif,
It is possible to get the SQL by editing the web config as follows:
Before:
<add name="Components" value="all,RunningJobs:3,SemanticQueryEngine:2,SemanticModelGenerator:2" />
To:
<add name="Components" value="all,RunningJobs:3,SemanticQueryEngine:4,SemanticModelGenerator:2" />
Of course you can always just use Profiler to see what is being sent over. It does sound like something wrong with the model definition more than the tool.