I haven't used the Hilton Twitter support available, but over Christmas I had a stay at a Hyatt where post-check out, my credit card was charged for a meal that was supposed to have been comped.
An email to the hotel turned out not to be answered for days; an email to the Hyatt Concierge wasn't answered for 24 hours. A tweet to Hyatt had the issue resolved with apologies and unexpectedcompensation within 20 minutes.
Have had a similar experience with United.
Reason enough to get a Twitter account.