Burnley boss Dyche insists that key decisions went against his side, though, including for the late leveller as referee Bobby Madley - booed off at full time - inadvertently impeded midfielder Ashley Westwood in the build-up.
"It's one of those moments you don't wish to happen in football," he told BBC Sport. "The referee gets in the way and puts them on the counter-attack.
"The final moment is hard to take. We all know how people go to the floor in the Premier League and our centre-half is put off balance by their centre-forward with an arm across his shirt and it's not given.
"Ashley Barnes was pulled down in the box at the end of the game – not given. He's actually pushed in the back on the goal. We haven't had a penalty all season.
"You do come away a bit disappointed. We can control the players' performance and we played well enough today. It was a solid enough performance to take all three points so I can understand why the fans are disappointed. Overall, it's another point on the board. It's a performance that I thought warranted a win. I thought we'd done enough."
Burnley's 11-game winless run is their longest in the Premier League since going 12 without victory in 2010.