Sean Dyche’s men were moments away from taking only a second point away from home this season when Andre Gray made it 1-1 from the penalty spot in the 93rd-minute at the Emirates Stadium.
But that was controversially taken away from them when the Gunners were awarded a spot-kick off their own in the 98th and final minute after Ben Mee was penalised for a challenge on Laurent Koscielny, who had stolen a yard from a seemingly off-side position.
It was cruel on the Clarets who had competed superbly against an Arsenal side who had Granit Xhaka sent off before securing the result that lifted them to second in the Premier League.
But Heaton hopes the Clarets can begin to make their own luck to improve their record away from Turf Moor where they have continued to be such a tough unit to crack in establishing themselves in the top flight.
“We’re disappointed,” said Heaton, who couldn’t keep out Alexis Sanchez’s spot-kick as Arsene Wenger’s men celebrated a 2-1 win and a repeat of their last-gasp win at Turf Moor in October.
“We went about the game well. We went 1-0 down and then after they had the man sent off we mixed it a little bit and created a few chances.
“We got the breakthrough with the penalty and it was massively disappointing to concede a penalty ourselves so late in the game and come away with a defeat.
“We’ve got to see it through somehow. The lads are questioning whether it was off-side in the first place and then whether it’s a penalty.
“The lads thought it was harsh at the time but I will reserve judgement until I see it again.
“That’s by-the-by really. We’ve got to see it through and, unfortunately, we didn’t today.
“We have been on that journey of improving in the last three, four or five games.
“Today is another great example of it. We played some good stuff at times and have gone very, very close and hopefully next time round we’ll come away with three points.”