Lyon said it was imperative the Fremantle midfield won more of the ball, if only to deny delivery to the Swans' star-studded forward line featuring the likes of Lance Franklin, Kurt Tippett, Sam Reid and Adam Goodes.
"The midfield would acknowledge it, they didn't get it done to half-time," Lyon told reporters after the match.
"If they had of did what they did in the first half what they did in the second, we might be having a
different conversation.
"But it is a Denis Pagan, 'if my auntie had whiskers she would be my uncle'."
Fremantle trailed in the clearances 20-14 at half time and managed 19 entries inside 50 during the opening two quarters, compared with 29 for the Swans.
"We will learn a lot out of today's game. Certainly I wouldn't have thought our fans or members would be disappointed with our overall effort."
Lyon said the players would absorb the lesson's of Saturday's loss and be up for next week's semi-final, acknowledging the finals system allows his team a chance to rebound at home next week against either Port Adelaide or Richmond.
"First and foremost you work really hard to create a double chance," Lyon said.
"We get back on the bird tonight and we play the winner, I think it is out of Port and Richmond, and the coaches will fly there and have a look.
"Our players will be up for the challenge at home in front of our members and fans.
"We look forward to fighting our way into a preliminary final appearance, because that is the prize."
Lyon said he couldn't say whether Luke McPharlin, who is battling a calf injury, was a chance to return to the side for the semi-final.
"We will keep pushing him through. I couldn't even give you the percentages," Lyon said.
The Dockers head home to Perth hoping for a smoother preparation for next weekend's clash, given they had their flight to Sydney cancelled on Thursday afternoon and ended up arriving in Sydney the day before the match.