Gabriel Agbonlahor's strike inside ten minutes was the first time the home side registered a first-half goal this season but their lead was cut short when Roland Lamah equalised just after half-an-hour.
The 49-year-old has seen his side pick up just three points from a possible 15 from their last five games but feels that on this occasion they deserved to win the game and accused Villa of playing for a draw.
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"I would say normally when you get points from away games in the Premier League, especially if you’re a mid-table team, you should be pleased," he told reporters. "After the first-half today we should have won the game.
"Even after conceding the early goal we came back, dominated completely, created chances, scored the equaliser and could have scored one or two more. On the other hand, Villa didn’t have any chances at all.
"Even taking off my Swansea glasses I still think it’s unusual you would say, that we should have won this game, but we didn’t. Even in the second-half, they were quite happy coming out of this game with a point."
But Paul Lambert believes the point was vital to break their run of four straight league defeats and hopes it now places them in a good position to reach the much desired 40-point mark come the end of the season.
"It’s a game where you would love to win," he admitted. "The point stops that sequence of losing which is vital for us. We were missing big players in that and it’s a lot for us to carry with a young squad.
"When you lose people like [Christian] Benteke and [Ron] Vlaar and [Jores] Okore – it’s a big chunk. Swansea are a good side but Guzan’s not really had many saves I don’t think, not many saves at all.
"I knew the first few years was going to be really tough, but we’re halfway there and if you look at that table it’s really tight. We’re halfway to where we want to get to so it’s a big point."