Even if the photo of the IGT and the star assures us that the game was completed in that time, it doesn't tell us if the speedrun was performed in one sitting or if it was replayed as many times as the runner wanted.
It's a pretty small community, so it goes on a trust system/how involved you are in the community For example, if some rando person shows that they got a 3:30 in yw2, then they probably will get rejected. If I post a 3:30, it will probably be accepted, because the community knows I am fairly trustworthy, and I have proven that I have the skill.
Like Fo0d says, it all depends on your involvement within the community. We have had some people (LordEleven, BubbaBoss) claim great times with no proof, so they were rejected. But if you are active and trustworthy, you will probably be approved.