This type of issue is one handled by each individual hotel. What one hotel does is pretty much irrelevant at another hotel. Showing up and saying "But the Hilton in Narnia honored their mistake rate" isn't going to get a different hotel to change their mind about their own mistake rate.
That said, I wouldn't consider $190 to be a mistake at a Hilton Garden Inn...even in Manhattan. Don't focus on the specific days you're travelling. If you see other dates at that hotel with lower rates, you have nothing about which to worry.