Lyness was made to pay for a moment of indecision as Akinfenwa headed home the second-half winner - his 15th goal of the campaign and one which took the Cobblers level on points with Burton and above Albion in the table on goal difference.
Rowett said: "I wouldn't blame Dean, he's been great for us this season. He decided to come for the cross but then got caught in two minds. I was more disappointed with the way the goal went in.
"I'm not disappointed with the performance just that fact that we didn't get a result. We got into some decent areas in the second half but the ball just wouldn't fall for us in the box.
"Like Northampton, we're struggling away from home. I know that's three defeats in a row but we're not playing that badly. We're just a bit unfortunate, whereas at home we're probably getting that bit of luck which you need."
Cobblers boss Aidy Boothroyd was delighted to see his side move into the play-off places after last week's setback at Chesterfield.
He said: "We knew we had to improve after last week's display and we also knew that with hardly anyone else playing that we could give ourselves a nice psychological boost.
"We did that and we've still got a game in hand on some teams, so we're in a good position.
"Burton and ourselves are very evenly-matched. We have almost identical home records and almost identical away records and they were going to take some breaking down but I thought we got what we deserved and were worth our win.
"They had a game plan and are a good team. We knew we were going to have to keep some good players quiet and I thought we did that. We were mentally alert and we had to grind out the win, which we did."
- Sports & Recreation