That's just bullshit from BEV companies. At best, it's something like 2x. At worse, it will take less energy, because you have waste energy from renewables. Wind and solar farms have a tendency to produce energy all-at-once, and shut down all-at-once too. You need massive amounts of energy storage to solve this. And the cheapest way of doing this is with hydrogen.
So as a result, you just get a lot of super-cheap hydrogen that otherwise can't be used. BEV don't solve this problem at all, leading to a lot of wasted energy.
Finally, fuel cells are also electrochemical systems, just like batteries. The notion that batteries will always be more efficient is just another lie from the BEV companies. In the long-run, this will be a unanimous win from fuel cells, because they will be equally efficient while also been much cheaper.