A 63 character password with ten dictionary words is on average much easier to type than a 16 character random ASCII printable string, especially on phone keyboards.
Not on my switch or home entertainment system though.
The PS4 might be a pain (though I haven't tried the gesture typing feature), but the Switch has a touchscreen so there's no issue there.
Fuck me, you are right. I was doing everything with the joycons... Well, there goes half an hour of retyping.
But the 10 dictionary words might be less secure than 16 random characters. xkcd estimates a word has 11 bits of entropy.
Your math is off. Even if you take the 11-bit estimate (if you use something like diceware you get 13 bits), 10 words give you 110 bits. Meanwhile there are 95 ASCII printables, 16 of them give you a maximum of 105 bits, and usually people don’t use the full range (ambiguity, especially painful to type, etc.) & don’t generate a uniformly random string, which means you’re getting fewer than that. Even 95 is an optimistic estimate.
I said "might be", and someone might estimate a word to have 10 bits of entropy. And you previously said dictionary words, not random dictionary words, so a human choosing those words might choose words that relate to each other.