Too complicated. An atheist is anyone who doesn't personally accept claims of a god/s; frequently someone unconvinced by the claims of theists.The commenter has jumped over context, marrying a reply to a comment containing "belief in God" with "isn't evidence of veracity". This is an attempt to "defend and conclude", but in reality is a manipulation of the discussion to suit their argument.
Returning to what was discussed.
A non-theist is a person who could consider the belief in God, but chooses not to, perhaps given it would take them a lifetime to consider.
- Addition: This would also include individuals who "are indifferent to the idea of god, and have no occasion to consider the matter".
An atheist does consider the belief in God, and decides they could not, would not, or should not, believe in God.
A lack of utility (in a belief in God), either from a personal or social perspective, drives their decision, although the requirement of evidence underpins their argument.
Here I use the term utility to mean, as it does, usefulness or benefit/beneficial.
There are various subtypes, of course, but all have in common a lack of belief.