I must say I'm a little confused by their proposal: yes, the later stages of the power conversion in the charger provide the galvanic isolation, but they also provide a more essential role of voltage conversion and current regulation. Connecting a battery directly to a grid-connected rectifier is likely to get melty and or explodey pretty quick, as huge amounts of current will flow in either direction to try to equalise the almost certainly quite-unequal voltages.
Fast chargers work because they can regulate the current flowing into the battery and convert the grid voltage to allow that to happen. Batteries are charged by feeding them with a constant current until you reach a certain voltage near 100% charge, then letting the current drop to get to a complete charge (which is part of why 20% to 80% charges are much faster than complete charges). This is 100% not what you get if you just cut out the charge circuit completely, you instead get a blown fuse at best or a fire at worst. There may be cheaper options for the charge circuit if you don't need them to provide the isolation, but they don't really discuss that, they just talk as if the cost would go to zero.
(For slow charging, this circuit still exists, it's just in the car instead. But it's quite hard to fit something that can handle the power involved in fast charging into a car, which is why it's in the charger side instead).