Your passsword should be made up of dictionary words though. If you do the math an 8 word sentence from the 10k most common words (just lowercase) is equivalent to a 16 character password from a full set of 100 characters and far easier to remember. Use some exotic words and punctuation and have a few random special characters in there and it is far far superior. WPA2 has a minimum of 8 characters and would take the same time to check every character as it would to check all combos of 4 lowercase words from the 10k most common set.
WiFi passwords aren't typed in frequently and can trivially be written down on the home router itself, CorrectHorseBatteryStaple has lower entropy than a random one of a bit smaller length.
Wifi passwords are typed all the time if you have any friends that come over. And typing randomly generated special characters on a mobile device is especially awful.
