Well the story indicates that it's the work of a research team based at the
Netherlands Aerospace Centre. I'm not an expert in that area, but the website looks like a reasonably legitimate organisation, which suggests that they would've done their research reasonably well, so perhaps the idea isn't that daft - although it certainly does raise a lot of questions.
Would it be a huge problem if you did?
But offhand I don't see any reason why the runway being curved would mean you'd need to approach on a curved trajectory. Presumably, you'd simply aim at the right bit of the runway and descend in a straight line to that point. The main issue I can see is that you'd have to be pretty accurate: Overshoot and you'd presumably have to abort the landing because the runway will have curved away from you. Ditto if you undershoot. With a straight runway, you clearly have a greater margin for error in that regard. But then I don't know how accurate landings are? Are modern aircraft/guidance systems sufficiently accurate in landing for that not to be an issue? Similarly for take-off, if you get the point of actually leaving the runway long, you'll end up taking off in (slightly) the wrong direction, though I'm guessing that's not really much of an issue - easy to correct once you're off the ground.
On the other hand, I don't know if the runway being canted would be an issue.
Presumably the aircraft would have to be canted to match at the moment it touches down? (Would that be a reason for flying in on a curved trajectory after all?)