It looked to be Palace's third straight win when Luka Milivojevic netted a penalty just before the hour mark, but Jordan Ayew's thunderbolt meant honours were even at the Liberty Stadium, which Hodgson believes was a fair enough result.
Hodgson said: “They had more possession that's for sure, because that's the way that Swansea play – they keep the ball extremely well and move it across the field well, but I felt that we controlled that pretty well throughout the game. We didn't really concede that many goal chances and at the other end of the field we looked pretty dangerous.
“When we took the lead I was hoping that we would continue defensively as well as we had been doing, not concede and go away with the victory but Swansea scored an excellent goal with a wonderful strike from Ayew, and the last 10 or 15 minutes became end-to-end."
He added: “From our point of view, we have been down there at the bottom for the large part of the season, but we're picking up points – sometimes it's only one but it's sometimes three, so we have to be satisfied with one. We've had two difficult away fixtures on paper against Leicester and Swansea and taken four points, and I'm more than satisfied with that."