Despite copping a 113-point thumping at the hands of Fremantle on Sunday, the Giants coach nominated Hawthorn as the side to beat for the premiership, saying that Fremantle have not had enough hard games against top-four opponents.
Richmond is the only eventual finalist that the Dockers were scheduled to play twice this season, after 2012 finalists West Coast and Adelaide failed to repeat their strong campaigns.
"It’s not their fault, they have probably got the best draw of all time this year – they have won Tattslotto," Sheedy said.
"They haven’t played, really, the top four more than once I would say.
"It would have been better if they’d played a top-four side in the next week or two just to remind them, sometimes you can get too easy a draw."
The Dockers have faced Hawthorn, Geelong and the Swans once this season, but all were away from home in the first 14 rounds.
They face Melbourne, Port Adelaide and St Kilda in the run home after drawing level with the Swans on the ladder and gaining almost eight percentage points with their win over the Giants.
However, Fremantle coach Ross Lyon dismissed criticism of his side's draw as a "red herring" - and he didn't miss his Giants counterpart Sheedy, either.
"Commentary on draws is really interesting, because like most analysts or flippant opposition coaches, it runs as deep as about the last two weeks," Lyon said.
"What happens throughout the course of the year, people get injuries and form falls away, and then they re-analyse.
"But at that time ... you've got to do the analysis of injuries and availabilities.
"So the flippancies, they're just red herrings thrown out."
Lyon conceded tougher opponents in the lead-up to September would be better preparation but he was unconcerned about the Dockers' run home.
"I think you'd like harder competition," Lyon said.
"But what we do know is we played Melbourne here last year in round 23 and we were uncompromising in the manner (like) we were today.
"But we knew when we looked at the footage, we didn't take any shortcuts and we played the right way.
"Everyone was dismissive of that and we rolled into our first final and played in exactly the same manner.
"So for us, the scoreboard and opposition are irrelevant. If we play the way we want to play, it doesn't matter. We'll improve."
