Player x appeals their ban in great detail, apology and effort. You check the ban list and find that YOU banned them permanently for propspam, and that this is their first ban. How would your response to the appeal be?

In this scenario YOU banned them, so you could ask for other staff members opinions but unless you would speak to yourself, you don't need to speak to the person that banned the player.

I made the same mistake in my TTT admin app