But there are not really any "good faith 1s", and when there are, then the average rating would we very close to 2 anyway.
Your example: 2 3 4 5 5 5 5 5, adding a one here is not deserved and can be seen as in bad faith.
Your bad faith 1 example only reduced the average from 4.25 to 4.14, and saved one bad actor from taking it to 3.89.
An example of a "good faith 1s" would be the reverse of your 2 3 4 5 5 5 5 5, making it 5 4 3 2 2 2 2 2. In this case a 1 could be justified.
This example changes the score from 2.75 to 2.55 using the original rules, but reduces it to 2.42 with these new rule, Making that 1 have an even bigger impact when a game TRULY is bad.
And this works for exactly as good if there are many ratings too. Like if there is a forum of "pure christianity+" that gets together to downvote games with bisexual contents, or having people give "1/5, didn't play, as you stated it contains AI use", or "1/5 why are there so many horror games on my main page, go away!", or "Why did you state you vote X on your Facebook, I vote Y, so you get a 1/5".