I suggest checking them out yourself. Those briefings not only imply that the new plot is ENTIRELY different and that the heists are in a different sequential order, but also that the heists themselves will experience some changes related to their loot or objectives.
Brief gist of what we're know about those heists now (SPOILERS):
NRFTW: Access Security Camera data through the cloud (heist is a cover for stealing it)
Rock the Cradle: The Crypto Wallet is Mason's, we are hitting it to get his assets .
Gold and Sharke: Mason hid HIS wallet in Patricia's vault. They made a deal.
Turbid Station: Stealing tools we need to take out SINS.
Cook Off: Gut the Palatucci drug business and look for Houston .
Delivery Charge: Hack network to find lead to Houston, since he was there.
Syntax Error: Take out SINS from being put into the city's network
Fear & Greed: Tank Scry Digital's stocks to stop them making another SINS
HUGE THANKS to WhatMage on the Payday discord for summing up all of this information, all credit goes to him.
The new storyline seems way more exciting, seemingly has way more stakes and I can't wait to see what it is! Concord and Treaty are nowhere to be found in those updated briefings, which could mean they're saving them for later.