Greater efficiency is highly desirable to the airline industry, with or without the added weight of EV batteries. If there were significant efficiency gains to be made by a novel wing design, we'd see the airline industry adopting that wing design already. Look at the adoption of winglets, both new builds and retrofits.
So if we're not already seeing a new wing design being adopted, I'm thinking one of two things:
First, maybe it needs a technological breakthrough that we just don't have yet. In which case, it's a non-starter for EV airliners at this time as well.
Yes, this is possible. And it's not necessarily an issue of technology to make it possible as technology to make it cheap enough. We've had composite materials for a long time, but only relatively recently have we been able to manufacture large aircraft components out of composites at a low enough price to be worthwhile.
Second, maybe the efficiency gains are just too marginal and/or come with too many other trade-offs to justify the conversion.
This is a major consideration.
For example, there are two issues that immediately come to mind for the truss-braced design images that macdoc linked to. One issue is having the wing above the fuselage vs. below. Having it below provides a useful advantage for passenger planes: the wing helps shield the passengers from some of the engine noise. Putting it above, and subjecting passengers to increased noise, is a design compromise. That may or may not be worth increased efficiency.
A second possible compromise for that design is fuel tanks. Those wings look like they take up a lot less volume, which means less capacity in any fuel tanks within the wings. You can increase fuel tank capacity in the fuselage to compensate, but having more fuel in the wings has advantages, so that's another compromise. Maybe worth it, but maybe not, depending on other factors. You still have the issue of how to distribute the weight and volume of your batteries in an electric plane, but that tradeoff might end up different for EV's
For another example of a wing design compromise I know has already been made, look at the 777X. For this version, they wanted to make the wings longer than on previous 777 models, but that made the plane too wide for a lot of airports. So they made the tips of the wings fold up. That adds expense and complexity to the plane. Apparently that tradeoff was worth it for the 777X, but having to add folding wingtips is still a design compromise. Electric planes would have the same limitations on wing length, although since they're entering the market from the small aircraft end, that specific example may not matter for a while.
But regardless, no wing design gets you out of the connection between lift and drag. Which means added weight always comes with a performance penalty.