I've never had a problem with Internet at Hampton Inn's, used the one at the Portsmouth, NH property last week and it was great.
At the Doubletree in Portland, Maine, it was painfully slow in the evening but fine again in the morning.
The problem with wireless is that there's only so much bandwidth ... and it's shared !!
Where I did have a problem was the Hilton Back Bay in Boston - there you have to pay to use the Internet !!