The Warriors had field goal opportunities sabotaged in either half of golden point, with referees boss Tony Archer admitting on Monday they should have received kickable penalties that could have decided the game.
"Golden point is an absolute joke," Doyle told Radio Sport. "It's a lottery. It's ridiculous.
"There's nothing more (needed) to prove that other than our game here last Saturday night."
The Warriors should have received a penalty in front of the posts four minutes into the first period of golden point, after three Penrith defenders - Trent Merrin, Leilani Latu and Matt Moylan - failed to get square at marker after tackling Warriors front-rower Albert Vete.
The Warriors were set to attempt a shot at field goal on the next play with Johnson and halves partner Thomas Leuluai both set behind the ruck, but Latu and Moylan, together with the assistance of Tyrone Peachey, managed to trap Warriors hooker Issac Luke at dummyhalf in possession on the last tackle.
"They were a million per cent offside and the referee's standing a yard away," continued Doyle. "It is the worst decision because they don't want to blow the whistle in golden point."
Five minutes later, with time running down in the second period of golden point, the Warriors again attempted to set for a field goal when Leuluai was tackled by a slowly retreating Latu, who was five metres offside.
The two incidents and performance of Atkins avoided greater scrutiny immediately after the match, mostly due to the fact Johnson was able to step inside the rushing defence and evade several tacklers on his way to scoring the match-winning four-pointer.
Doyle's frustration follows the Warriors heart-breaking 15-14 golden point defeat to Manly in Perth that saw players from both teams blatantly offside while trying to defend field goal plays by Johnson and Sea Eagles halfback Daly Cherry-Evans, who eventually nailed a shot off his left foot to win the game at nib Stadium.
"Fortunately Shaun learned from the Manly game because sometimes they're rushing up because they're so far offside, that if you can step, there's a bit of space that can be created in behind," he said.
"We were fortunate to get the win because to lose three in a row and four in five weeks would have psychologically pretty tough to come back from."
The NRL is changing the format for the upcoming finals series, with teams set to play out two five minute halves of extra time. If scores remain level beyond that time both teams will then enter into golden point.
Doyle believes games should end in a draw after 80 minutes and said the NRL are looking at potentially scrapping the current system for next season.
"They'll certainly consider it and I know they are. I'm sure they'll review it and make decisions. They'll involve the competition's committee that they've got and make a decision for next year.
"It's a tough competition for 80 minutes and I think at the end of it if it's a draw it should be a draw."