Having fallen behind early as Harry Phipps headed home, Boyce himself soon restored parity with a tidy first-time finish. Jay Bird then notched the winner with five minutes to go, as the home side emerged with all three points from a game where United arguably deserved at least a point.
Reflecting on the performance, the 33-year-old told Iron Player: "We just said in there that we are all gutted. We are sat in there just deflated as we felt we were well in the game, as we got ourselves right back into it. With five minutes left we had some decent chances and we could have then gone in front. Little moments are costing us."
Given the battling mentality the Iron did show to get back into the game, Boyce was disappointed to concede so late in the contest, insisting he felt United could have achieved more across the 90 minutes.
"I thought so," when quizzed on whether he felt United could have got more from the game. "They’ve hit the woodwork a couple of times when we are trying to win the game by going further forward, but I thought in the first half we had some really good chances.
"The first goal they scored killed us a little bit, but we got back into it and I thought in the second half we got into some good areas and we could have done a little bit better. I then thought this is going to end a draw so let’s just hold onto it and now we’ve come away disappointed again."
Having netted his second goal of the season during the defeat, the defender also asserted the need for his goals to mean something.
"I was elated at the time but it means nothing now," he added. "You are only bothered about them when it means something and you get some points. It means nothing to me.
"It’s just little moments that are costing us at the minute. That would have changed the game, little moments where we gave a free-kick away in the last five minutes and we have since failed to defend it.
"It’s just little moments that are costing us and it would have been a decent performance. We are now coming away with nothing."
The former Eastleigh man thanked the travelling support who made the trip to Greater London, hoping both he and his teammates can turn things around sooner rather than later.
He said: "We appreciate it. Don’t get me wrong, we always give it 100% every time but we appreciate them as we can hear them and they all clapped us off at the end. It’s alright having good performances but ultimately we need to turn them into points."