Network engineer with 20 years experience: Routers that have wireless interfaces on them are toys. Carrier grade routers have wired interfaces only. Introducing binary blobs of atheros/Qualcomm chipset support into a router is a recipe for instability.
In my field, "toy" is anything that costs under 500 bucks. If we want a wireless interface for OOB, we'll add an opengear LTE gateway device.
The router I mentioned in the earlier post consumes 5W of power and is the size of a pack of cigarettes. It looks like a toy, and is under $50, basically disposable, but is much more stable and bug free than home routers you can buy from $85-275 at Best buy which integrate wifi capability.
The consumer market for cool looking multi band $200 routers with spiky antennas coming out of the top is, in my opinion, ridiculous.
As for the dedicated wifi side, ask any professional who uses (on the cheap side, ubnt) or xirrus, ruckus APs in environments with thousands of clients whether wifi aps should also be routers. They'll have a good laugh at the idea.