I encounter flight status web site SNAFU's all the time... Jet Blue and the legacies are not immune to this but what are you gonna do? Be an educated consumer and check several sources like you did with Flight View.
take for example B6 flight #184 today
JetBlue.com is showing it arrived at 3:12AM this morning
By checking FlightAware.com you can clearly see that today's flight B6 #184 will be actually arriving 10 minutes early at 10:10PM
--Russ