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Quote from version77:
Are there any other "related" entities besides Timber Hill who
trade YM?
Does IB also have "related entities" who trade ES, NQ and ER2?
And how much volume do they do? Or can you say?
No, just timber hill but the volumes are immaterial as they have NO knowledge of IB order flow. If anything, it's the other way around as Timber Hill is known for showing it's pricing in the options markets.
Sounds like the experiment was well worth your time.