Your proof of abuse is not sufficient for a report. A pastebin of the chat does not prove that you were not micspamming or arguing with one of our moderators. Since Admiral decided to provide a demo of the situation, I have reviewed it for abuse anyway.
You were being excessive in voice chat with noises and voices, we ask that players use voice chat with a regular voice and do not make obnoxious, unneeded, or loud noises. This is especially important on our trade servers as the primary use of the voice chat is allocated to those looking to offer trades, discuss trades, and so forth. Even if someone is not trading at the time, it may deter them from wanting to use our servers for trading in the future. Perhaps if you had only done it a couple of times this would be a different situation. Your claims that you were not warned are also not true, the server logs match the demo file as well, showing that you were warned about it on several occasions. We do also have a rule against causing drama and arguing with our admins, especially in a disrespectful way. If you disagree with an action an admin has taken, you need to discuss it with leadership or make an abuse report, not ridicule them and cause drama and then make a report. You can reference our rules for TF2 in this thread or in the MOTD.
I will, however, advise Admiral to be a bit more lenient about voice chat use.
Not abuse.