Even though they are just four games into their second season, the Giants' impatience is on the rise as they anxiously chase their first win of the year and the third in their brief history.
GWS has another chance when it takes on fellow newcomers Gold Coast in Canberra on Saturday.
Power, who played his final AFL season with GWS last year before turning to coaching full-time, admits there is frustration among such a competitive young group as they strive to match other sides in the League.
"No doubt and that's a great sign they're like that," Power told AFL.com.au.
"They're playing to win, they're not just playing to make up the numbers, and every week they go out thinking they can match it with sides.
"They've shown they can do that for periods of the game.
"I think (their frustration) is a great sign, but we have to be patient and make sure their development on and off the field is the number one priority."
Comparisons between the Suns and Giants have been both plentiful and predictable as everyone eagerly analyses how the two clubs are developing.
Gold Coast picked up three wins in its first season, but found life tougher the following year, losing 14 consecutive games before ultimately recording another three triumphs over their final eight matches.
The Giants proved highly competitive against the Swans and Port Adelaide to start this season, but undid some of their good work with a poor night against St Kilda and a terrible final quarter fadeout against Melbourne.
Lapses in games are proving the biggest detriment to their ability to pick up another win, according to Power.
"We're going all right," he said. "I won't lie, we'd like to be going better, we'd like to not be having the lapses we've been having in games.
"Our best football has been really, really good and really competitive, but unfortunately we have far too many lapses during games.
"As a result, the scores probably blow out more than they should.
"Last year we'd probably play a half of football. This year we're playing more than that.
"But this game is so relentless and teams are so well drilled now that you have to play for four quarters."
The Giants can at least reflect on their last clash in Canberra against Gold Coast, when a stunning last quarter carried them to their first AFL victory.
But Power, who played in that game, is extremely wary of a Suns outfit he believes is "improving across the board".
A triple premiership winner with the Brisbane Lions, Power is trying to instil defensive principles into the players.
There is no lack of confidence, however, with Power expecting a number of Giants to volunteer to stand Suns superstar Gary Ablett.
"No doubt there will be a lot of players putting their hands up," he said.
"I'm sure players like Steve Coniglio and Adam Treloar and Dylan Shiel would be ready to go if they're asked to take him for parts of the game.
"But it takes a whole team effort. It's like playing basketball with Michael Jordan, if you play him one-on-one, you're not going to win are you?
"Hopefully our whole team can get the job done, instead of one or two blokes."
James Dampney is a reporter for AFL.com.au. Follow him on Twitter: @AFL_JD
