Billy Davies felt his side dominated the league leaders throughout the 90 minutes and praised the Reds' 'fantastic football' in the City Ground clash.
"I'm sure Burnley will be relieved to get out of here with a draw," was his after-match verdict on the official club website.
Relief, however; did not appear to be Dyche's overriding emotion as he kept the focus on the 'resilience, respect and work ethic' of the Clarets.
He also sought to compare the money available to opposite number Davies for transfers and wages, saying: "Look at the resources they have got compared to us, but it's fair to say we are up there for a reason.