That bit is what throws me from time to time, but yes, if there is an involuntary OpUp the boarding pass online, and the View More Flight Information screen in the app still shows the original cabin for some reason. I glanced at someone's screen as we were preparing to board a 747 the other day, and it said 1A - World Traveller Plus - which I found amusing.

Anyway, yes BA have managed to nearly fill up two 380s to LAX today, and you are getting an upgrade due to oversellling WT and WTP sufficient to require some WTP to go forward, or rather down. There is some WT space but any late comers or irrops into WT will force further moves forward. I can see that an uncommonly good-looking Silver is in 13F and 13G, there are other seats available. though no window pairs upstairs (just the middle block). I would stay where you are now.

If you wanted a go at First, they probably will now sell you an AUP on that service. Prices in the relevant thread in the Dashboard.