Whether or not it catches on will depend mostly on efficiency. If the losses are minimal, it makes sense to eliminate mechanical connections.
Efficiency will definitely play a part, but I think more important will be Convenience, Cost, and Coverage.
When you get an electric car, you need to plug it in every time you get home so that the charge is topped off and you never leave with a near empty battery. If all you have to do is drive over a special mat or the technology is embedded in the floor/pavement/whatever then that will be infinitely more convenient because it doesn't add any extra steps when you park your car.
If the mats cost a fortune to install or require significant upgrades to a home's existing infrastructure (a la a 220V system) they'll be less likely to be deployed. If they're sold separate from the car purchase, that could cause another issue.
Finally, if there are a bunch of competing standards or the technology doesn't catch on very widely the coverage for installations in semi-public areas like parking lots would likely never happen, leaving a large amount of city dwellers unable to get on the bandwagon.