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Upon further thought, not a problem. Stephen considered the case:
class myint(int):
 # inherit __init__
 def added_func(self): "some new function of an int"
In this case, fob = myint.__init__ would not be FunctionType and inspect would not be called. Tool tip would be myint.__doc__ and writer could follow style of builtins. Still an interesting test case to add.
A different question is whether the default for callables (as opposed to non-callables) should be nothing or something like 'args unknown' or 'see docs'.