I mean... there are many reasons to do it. Maybe not great reasons, but remember, this is for the great unwashed masses, it has to be convenient and fancy and magic to adopt or sell. If you can do something that no other method has done before, might as well go for it for the bragging rights.
You can't transmit fuel wirelessly. Hoselessly. Well. You shouldn't. Please, for the love of god, don't.......
...But electricity, it's not a huge problem. An engineering problem, sure, but a soluble one. The equipment will be more expensive, but the capital cost pales in comparison to the electricity flowed through it over its lifetime. Even a fraction of it, because, you know, we've gotta take our cut of your charge bill.
The weight of the receiver is maybe the bigger problem; that's a lot of ferrite and copper to lug around, and it can't exactly be detached without "see problem #1". Less of a problem at least with regenerative braking, but still that incremental cost on bearing and wheel load.
Can be more defensible, too; especially until such time as this ever-rising inequality is actually fucking addressed, theft will only intensify, and very bolt-cutter-able charge cables are an attractive target. Everything stuffed into a concrete and metal block, HDPE or whatever impact shield, epoxy potting; that's a bit harder to do. Likewise if integrated into the car's floor pan, it's less cuttable than a catalytic converter.
There are some niche cases where it may make sense - bus stops, taxi ranks etc. and there will always be the rich gadget fans who'd want it, but solely the fact that it needs a significantly modified vehicle makes it impractical for most cases.
Car makers aren't going to offer it as a standard option, and won't be likely to approve third-parties modifying the HV system to accommodate it outside of quantity fleet buyers.
Yeah, the added purchase price, and mostly having to engineer it into the system from the start, are two of the bigger reasons against it. The easiest "in" would be as an aftermarket add-on, but I'm guessing no one makes a charging port in the trunk or whatever, so you'd have to have the cable hanging out all the time (which, see above problems) and that just looks stupid, also the unit itself would be less defensible (see above again), at best bolted on, but maybe more realistically just strapped in place somehow. Hopefully not double-stick-taped(!!).
Tim