Defender Michael Keane clearly had his shirt held in the box as he tried to get on the end of a deep David Jones corner.
Following that, Swansea grabbed a late winner through Leroy Fer’s tap-in.
And Dyche was left feeling frustrated after a performance that he felt was deserving of some reward.
The Clarets boss said: “It was frustrating because I felt we gave a good account of ourselves today.
“The margins are tight and the details are important.
“We gave away a soft goal, but in the second half in particular we put in a good performance and kept a good side on the back foot.
“Their keeper has pulled off a couple of fantastic saves, so we have created things, which is pleasing.
“We can learn from that and we have to quickly. I said it last time in the Premier League, because it’s an unforgiving league.
“The details are really, really important and we needed a big decision today with the foul on Michael Keane, who has a header from two yards.
“You can clearly see his shirt is being pulled all over the place and neither the linesman or referee see it, but we can.
“That’s frustrating, but that’s the way it goes.
“Overall though, I am actually pleased with the performance.
“It gives us something to build on and belief in what we want to do and how the players will hopefully mould into a team that can hopefully be creative and go and win games.
“We learned this from the Premier League last time. Even when you are being the dominant force, you have to do everything right and it was a soft goal really.
“They are the details that count, but we will learn and move forward.”
Dyche added: “I want the respect of being well thought of and giving everything, but I also want the respect of winning games and being in the Premier League.
“That’s the bit we are trying to change and flex, and that’s why we are working in the market too, in order to give us level of depth you need in this league.”
Anderlecht midfielder Steven Defour has been reportedly set to sign for the Clarets in the coming days.
But Dyche warned the deal to bring the Belgian midfielder to Turf Moor was not cut and dried just yet.
He added: “It sound like positive news coming out of Holland on Steven, so we will wait and see how that develops over the next 24 hours.
“It’s never done until it’s done, so we will wait and see.”