No, that was never the point. The argument was whether or not a d/Deaf or HOH person could be fluent in spoken language. That's it. Some are now trying to say that to be fluent your speaking must be absolutely perfect and that's far from true.
The caption on the OP's video on pg 1 of this thread described the scene as "Deaf children learn to listen and speak fluently." Some contested that this was not possible (e.g., Beclak's "Going by the dictionary definition of fluency, no d/Deaf/hoh child or adult could ever be fluent in spoken language, we are just masters at fooling people by appearing to be so."). And Beclak later expanded that to included any d/Deaf, or HOH person, even late-deafened over time. And several challenged the OP to provide one example of a fluent deaf or HOH person.
I think his name was brought up just because he's really well-known, so people could easily confirm that he's deaf and not age-deafened with pre-existing speech.
There are many examples out there, and a few ADers also said they considered themselves fluent in spoken languages or knew of others who consider themselves fluent.
I don't know what accent has to do with this, though -- such things don't have a bearing on fluency as long as you can express yourself and use the language with ease, speed, and flow/smoothness.
I'm not going to post someone's home video of their child speaking, but you can find many on YouTube. This one, however, is designed for public use.
Hear and Say - Liam Radio
This 11YYO child has an accent, I'd guess NZ, but that doesn't mean he isn't speaking beautifully, and it doesn't mean he can't be fluent just because he has an accent. I've seen videos of him joking around with radio djs, too -- he's a bit shy, but doesn't seem to have any difficulty conversing like a typical hearing kid might.
I'd hate to think that having an accent disqualifies you from being fluent. Despite some careful masking with a painstakingly acquired Virginia drawl, I'd be willing to bet that anyone studying linguistics or accents would quickly pick out my guttural Long Island roots and note that I was raised in a household where English was a second language for a large number of my family members. My speech is far from perfect, but I feel that I am fluent in English. My Deaf daughter's speech is far from perfect, but I think she expresses herself fluently in spoken language.