Since Lyon made his Test debut in 2011, there seems to have been a sentiment that he's a five-day bowler only.
Xavier Doherty has been a coloured clothing regular for the past couple of years and now Fawad Ahmed has been called up to the squad for the UK limited overs tour.
Yet the No.1 spin bowler in Australia can't get a look in.
He will instead return to his new state side NSW once the Ashes wraps up at The Oval on August 25.
Lyon claimed a three-wicket haul in the Australians' two-day tour match against the England Lions in Northampton on Friday, a promising follow-up to his strong performance in the fourth Ashes Test at Durham.
After play, the 25-year-old was quick to clear up any misconception over his status, declaring he is desperate to add to his two ODI appearances and represent Australia in all three forms.
"I definitely want to play one-day cricket - there's no doubt about that," Lyon said.
"My goal is to play all three formats for Australia. The more chance you get to play cricket for Australia, the better for me. There is no point hiding behind it. I really want to play one-day cricket."
Lyon said he hasn't had any dialogue with National Selector John Inverarity about where he stood in regards to ODI cricket.
Inverarity said after Ahmed's one-day call-up that the Pakistan-born former asylum seeker would also be under consideration for the home Ashes series this summer.
Lyon has had a frustrating year, where he was dropped for a Test in India and replaced by teenage debutant Ashton Agar for the first two Ashes Tests.
He returned to the fold for the third match at Old Trafford and showed what he's capable of at Chester-le-Street taking seven wickets.
Lyon said last week that he's felt like the "hunted" with Agar and Ahmed breathing down his neck at every opportunity.
However, the 24-Test player said he hadn't given thought to Inverarity's comments, suggesting his place isn't safe for the summer with Ahmed entering the picture.
"I'm not even thinking about it," said Lyon.
"I'm not in the one-day squad - I'm here to hopefully win this last Test.
"Then we get home and get in the camp there at NSW and then we'll worry about the Australian summer when that comes."
At stumps on day one in Northampton, the Lions were 7-269 after 77 overs, with 83 overs available for the innings.
Gary Ballance starred for the home side with 104.
Losing the toss and bowling has hardly the ideal result for an Australian side in desperate need of batting practice and with rain a chance to impact on day two.
However, Lyon made the most out of seven of the top eight Lions' batsmen being left-handers.
Lyon has troubled England captain Alastair Cook during the Ashes and again cashed in, taking 3-80 from 25 overs, all caught by captain Shane Watson at first slip.
It could have been more, though. The unlucky Lyon had three catches dropped off his bowling, including a sitter by Watson.
In contrast, Steve Smith bowled two full tosses for two wickets, including the prized scalp of Ballance - the ball after he'd smashed a six to bring up a ton.
"I'm feeling really good at the moment," he said.
"(After Durham), to back it up here was pretty important for me as well."