I had already installed 2004 on my SL3 before. I think I had to uninstall Skype for it to show up or something ridiculous like that. Unfortunately, it didn't solve anything for me. After a few hours it went straight back to before.
I think it's safe to say at this stage that this is a hardware problem. If it was a driver issue, it would affect much more users. It took them 2 days, after I sent in mine, to offer me a substitute. Luckily, I claimed a full refund via my retailer. In conversations with staff, I was told, unsurprisingly, that they had quite soe problems with returns and warranty claims for the SL3 and the Surface line in general.