Lyon is impressed with Bombers' counterpart James Hird, who coached Essendon to an epic four-point win on Friday night in Perth over the Dockers.
Hird is refusing to stand aside, despite mounting pressure over Essendon's supplements crisis.
"It just highlights (that) everyone talks about off-field distractions," Lyon told SEN radio.
"If you're a good team and you can focus, it's irrelevant.
"It's what you do with the pressure that counts."
The Saints under Lyon were embroiled in the St Kilda schoolgirl scandal and the dramas surrounding Andrew Lovett.
But Lyon said what Essendon are going through is unprecedented.
"There are different types of pressure - this is a unique situation," Lyon said.
"It's very messy for everyone involved and the AFL.
"What you look for is conclusions and I'm sure the conclusions will come eventually."
Lyon was extremely disappointed that Fremantle lost, given they had plenty of chances, but was pleased with their effort.
He said the start of the third term was costly as Fremantle's workrate dropped.
"One lapse for half a quarter and then inaccuracy cost you four points," he said.
Lyon said the glass is half-full for the Dockers.
"The inability to finish was the disappointment, but you can work on that," he said.
"We're giving really good effort. It's easy to identify what we need to fix.
"It was a disastrous result, but we're doing a lot right in our football."
Lyon added ruckman Aaron Sandilands was about four weeks away as he recovers from his hamstring injury.
He also would not comment on Essendon's Paddy Ryder, who will come under video scrutiny for his big hit on Luke McPharlin.
"I wear a few hats - I'm a husband, I'm a father, I'm a coach of Fremantle," Lyon joked.
"But I'm not the head of the MRP."