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Most of the hotel and airline dining programs use the same networks – from personal experience Choice, Hilton, Marriott, Southwest, and AAdvantage are the same.
If you try to add the same card to multiple you’ll get a notice that it was de-enrolled from the earlier programs.
I’ve never seen restaurants in those programs also available in SimplyMiles or with Chase/US Bank offers to stack.
Only stack opportunity was Dickey’s BBQ was once on SimplyMiles at the same time as a 10% offer on a Chase Freedom Flex.