Hopefully, they'll actually look into your issue and not feed you the BS that they gave me about drops being random and there's nothing they can do. I stated what happened and attached the Twitch Drop page but all I received was the response below:

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The Elder Scrolls Online Team response on 01/27/2021 03:22 PM
Greetings!

Thank you for contacting The Elder Scrolls Online Team. My name is Lucas, and I'll be assisting you today however I can.

Apologies for the automated response, you know how machines can be. However I regret to inform you that Twitch Drops are random and frequency may vary. There is no guarantee of a drop, how often drops will be awarded, or what the reward will be. We are unable to grant drops to players outside of a Twitch stream.

My apologies again for this, however if you have further questions or concerns please let us know.

Thank you, and please let us know if there's anything more we can do to assist. Have a wonderful rest of your day.

Warm Regards,
Lucas
The Elder Scrolls Online Team

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No help at all...

So here's what I found out. I used an extension on Chrome called Alternate Player for Twitch.tv. For whatever reason, this was blocking everything. It would not register the time I watched streams, crates, giveaways or anything. Once I removed it, everything worked as it should.

@LordEmperorShinigami I have gotten a similar response like that before, only mine was by someone who was apparently having a bad day that day. Person was very rude and even less helpful. When I received an e-mail asking for feedback on the matter, I explained it all and how I felt. Whoever read it sided with me and resolved my issue.

@Threemoons Check your extensions. You may have the same issue I had. Anything that alters Twitch could be doing it. As far as I know though, BTTV and FFZ are safe to use.