Not necessarily - the First Order only picked up the Resistance transports because DJ sold them out to save himself, which he wouldn't have been able to do if Rosefinn hadn't recruited him and then let him overhear Poe talking about them having cloaked ships. I mean sure somebody on the Supercalifragilistic might've thought to scan for cloaks anyway just in case (you'd think that'd be routine, but maybe once you've built a ship 60km wide there's not much left in the budget for repairing wear-and-tear on the scanners so they save money by just having a guy look out the window instead), but just from what's on screen it looks like Holdo's original plan (the one that didn't involve ramming) might've worked. Of course they'd still have needed somebody to come pick them up, but they'd have had more time to play with while the First Order chased an empty cruiser, and "Hey can we get an Uber?" might have gotten a better response from the Resistance's so-called allies than "Hey giant laser pointed at us and we're doomed, wanna come join in?"
...that's not a good look for Team Poe, granted, but they did make a difference.
Then again I feel like there's an argument to be made that if Poe hadn't gotten the Suicide Squadron annihilated bombing the dreadnought, it would've jumped after them along with the rest of the enemy fleet, and judging by the dialogue its autocannons could've blown away capital ships at extended range, since that's exactly what they were about to do over D'Qar before they asploded. That old line about the winner being the second-last person to screw up seems relevant.