"Advanced" maps:
Imagine if on CC you could go straight for the crane, without waiting for the bot to reach it. That's how the advanced maps would work.
Just like on Resort or CC you can go straight to blow up the bot escort obstacle, Advanced maps would lay out all the possible main objectives, without telling you what has to be done in what order.
Sure, you might think it creates unnecessary chaos, but let's face it, the same 2 chokepoints per map get repetitive at some point, and it's way more interesting to be able to switch focus, and earn some extra time, when you see you're not getting anywhere with that hack or HE charge.
"Counter" maps:
Counter maps work like all the traditional objective ones, there's a twist however. Both teams have an objective, that let's them win the match outright.
What if the Resistance couldn't get the robot off the Resort pelgo? Well, they wouldn't get the Nav Computer, of course. If the security blows up the ramp, the bot won't get on the boat, and they succeed in preventing the Resistance from getting the Nav Computer.
Obviously some maps would have to have such objectives appear later in the match, but any new ones can be designed around having such a solution. It's interesting to try getting through guys that try to stop you, but it's even more interesting to try stopping them at the same time.
Multi-location objectives:
Have you ever wished you could plant a second hack box on the other vent control panel on Reactor? Now you can.
The idea is simple yet brilliant: having MORE objectives, that can be or have to completed at multiple locations. Hacking the vent from two different sides? Bowing up one of three pillars holding a structure? Fixing two cranes cause one is not enough? Escorting multiple hostages?
Possibilities are ENDLESS! Wait... Isn't that the theme of the game? IT IS!