Button was on course for a fifth-place finish at least in Sunday's Malaysian Grand Prix when his race was ruined by a tyre-change error.
The 33-year-old was released without the right-front wheel being pitted properly, forcing him to stop halfway down the pitlane where his crew had to push him back to finish the job.
By the time Button returned to the track he found himself a lap down and out of the points, with a late surge ending a few laps from home as the front-left wheel was suffering severe vibration.
Given McLaren's pit-stops gaffes last season which forced the team into a change of personnel and procedures, this was a case of the past coming back to haunt them.
Despite missing out on the 10 points, Button refused to condemn as he told Press Association Sport: "The guy on the front-right (wheel) was devastated.
"I really feel for him because it was such a small mistake and it can cost you dearly, as it did.
"But I don't hold any grudges with anyone. It's a mistake and the guy has apologised."
Last season McLaren ended the campaign by setting world record times for their pit stops of 2.3secs, and aiming for sub-two seconds.
Button feels that as a precaution going forward, to ensure there is no repeat of what happened on Sunday, the team should ease off on its need for speed in changing tyres.
"When the guys are quick, they are super quick, but we have to be careful in trying to get them too quick," said Button.
"But when it's that fast, you are under pressure, even if the guys say they aren't.
"If you have to do something in that space of time, it's very, very difficult.
"Now we've worked so hard on getting the pit stops as quick as possible, but maybe we have to back off a little to get a bit more consistency."
The incident merely added to McLaren's woes to start the year given their car in the opening race in Australia was horrendously off the pace due to a wide range of issues.
But despite what occurred to Button, he will at least be heading to the next two races in China and Bahrain next month with more of a smile on his face and confidence raised after Sunday's race.
Button said: "The positives are that we started the race seventh, got up to fourth - actually, we were leading at one point - but on the road fourth, and the car was working really well.
"We went for a different strategy to most as we were going to three stop. Most people were four stops.
"When I made my last stop I had a good feeling we could fight with the Mercedes. I don't know if that would have been the case, although Lewis (Hamilton) was fuel saving, which I knew.
"Fifth place was definite. That was the worst result we could have got, and we could possibly have fought for a podium, but then we had the disappointing end and lost a lot of points.
"But for the season as a whole the weekend was very positive in terms of moving forward.
"We're still off the pace of the Red Bulls, although for a lot of the race we had the same pace as Sebastian (Vettel), so it's amazing how you can move forward within a week.
"A lot of that was understanding the aerodynamics of the car, some of it was lucking in on the circuit being smooth, but also we did a good job."