I ain't going there?

Hi. I'm Lio, a S. Korean, eager to learn English.
I chanced to read an article about baseball.
Let me show you.

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During the conversation, Showalter was asked whether Korea has now surpassed Japan as a country to find quality hitters.
The Orioles manager said he's been impressed with
how many Korean players have been able to have success recently in the majors.
But, with a laugh, he quickly avoided choosing one country over another.

"I ain't going there," Showalter said chuckling.
"I think about going back (to both countries)."
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When you are asked a question, and you don't really want to answer that,
do you sometimes say 'I am not going there'?

The manager answered, 'I ain't going there'
and I wonder if that's equivalent to 'I'm not going to answer that'
or from the context, he just intended to say
'I'm not going to those countries.'

In a nutshell,
is 'I'm not going there' almost the same as 'I'm not going to answer that'?

Any comment will be appreciated.
Thanks.