Your methodology is flawed. I just searched my own Reddit account which I deleted early 2015, which was around for five years and had thousands of comments and 100ish posts, and it identically returns no results of any kind.
https://www.reddit.com/search?q=author%3A+Karunamon&sort=rel...
Now, if we take the same search to Google, you see [deleted] posts by me, and posts that reference my name:
https://www.google.com/search?source=hp&ei=cnF7WqfTHI7ctQXJt...
If we grab a random account from that image, say frank_calder, we get results:
https://www.google.com/search?ei=n3F7WqD7E8W2sAXu1ZzIBg&q=si...
Including one that calls out the botted nature of that account by name:
https://www.reddit.com/r/videos/comments/4vsk1e/a_tour_of_ac...
And with some more digging, we can turn up their actual posts:
howard_lowery: https://www.reddit.com/r/politics/comments/4vm8e2/paul_ryan_...
john_valtierra: https://www.reddit.com/r/politics/comments/4vm7zz/could_sput...
frank_calder: https://www.reddit.com/r/politics/comments/4vm88x/donald_tru...
terry_moore: https://www.reddit.com/r/politics/comments/4vm79m/khizr_khan...
carlos_liu: https://www.reddit.com/r/politics/comments/4vm8xn/donald_tru...
Reddit's search is and always has been awful.
This accounts for every user called out on that image. I'd thank you not to call me a liar in the future.
I've gone ahead and not flagged you because I don't abuse the flag feature against people who make mistakes, given your utterly baseless and easily disproved assertion that those accounts were photoshopped onto this image.