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> How do you stop walking your graph if it spans the whole graph of Python objects?
We can stop at specific types of objects (for example types and modules).
> If sys.getsizeof() is only useful for people who know *already* how an
object is implemented internally, then it's actually useless, because
those people can just as well do the calculation themselves.
It's why sys.getsizeof() is a low-level tool. We need high-level tool in the stdlib. Even imperfect recursive counting will be better than confusing for novices sys.getsizeof().
> (By the way, OrderedDict.__sizeof__ already breaks the rule you are trying to impose)
Yes, I know, and I think it is wrong.
Here is improved version of gettotalsizeof():
def gettotalsizeof(*args, exclude_types=(type, type(sys))):
 seen = {}
 stack = []
 for obj in args:
 if id(obj) not in seen:
 seen[id(obj)] = obj
 stack.append(obj)
 sum = 0
 while stack:
 obj = stack.pop()
 sum += sys.getsizeof(obj)
 for obj in gc.get_referents(obj):
 if id(obj) not in seen and not isinstance(obj, exclude_types):
 seen[id(obj)] = obj
 stack.append(obj)
 return sum
>>> gettotalsizeof(sys)
206575
>>> gettotalsizeof(gc)
2341
>>> gettotalsizeof(sys.getsizeof)
60
>>> gettotalsizeof(gettotalsizeof)
60854
>>> class C: pass
... 
>>> gettotalsizeof(C)
805
>>> gettotalsizeof(C())
28