Hull KR have gone 40 years without a major trophy and lifted their only Challenge Cup even further back, in 1980.
But hopes are sky high in Humberside, with Rovers sitting top of Super League and now in their ninth Challenge Cup final after an emphatic second-half display.
KR showed first as both sides ignored the unusually high spring temperatures and went full-tilt in a breathless first half.
Batchelor chased down Lewis’ kick through to score after Guillermo Aispuro-Bichet failed to punch the ball out of the in-goal area, and then added a hotly-debated second try after a lengthy video review.
Matthieu Laguerre appeared to ground the ball at the same time as the second-rower, but video referee Ben Thaler could not overrule Chris Kendall’s on-field decision to award the try.
Dragons offered little in attack in the opening 15 minutes but then exploded into life, as Smith cut back inside to split open the Rovers defence and cross near the posts.
And when Keary chased down a chip ahead soon after, Thaler did this time overrule Kendall – who had called offside – as the Dragons pinched the lead.
Catalans went close to extending that lead moments later, but Julian Bousquet’s rash flicked offload just metres from the line instead found a Rovers hand.
But the match turned again before half-time as Jai Whitbread’s brilliant offload in the tackle sent Lewis flying over to restore the Hull KR advantage.
Lewis booted a penalty as Rovers piled on the pressure after the restart and then cracked the French side when Broadbent spotted a gap and launched a scorching diagonal run through to the posts.
Jez Litten’s thrilling run from his own half sparked a breathless move which fell just short, but KR killed the game with 10 minutes left as Catalans visibly wilted.
Kelepi Tanginoa was sent clear by Lewis’ cut-out pass and fed Burgess, whose pass inside gave Broadbent a clear run to the line. Burgess then ran in at the left corner for try number six.