High CPU usage during "Cloud" analysis?

While watching the FIDE World Cup with analysis enabled, I noticed high CPU usage on my computer. I confirmed lichess was the culprit by turning off analysis and noting a drop in CPU usage. This would be totally reasonable and expected if running analysis locally, but in these games, the analysis comes from "cloud." I thought that means the analysis does NOT occur locally, but maybe that's not the case.

Should lichess be using the CPU heavily when analysis comes from the cloud?

Also relevant: Pretty sure also happens on my phone. Makes it virtually impossible to watch games with the evaluation because your battery is dead in no time.

What makes you think there is a cloud analysis going on in real-time?

I didn't claim it was real-time, but there is definitely the "cloud" icon shown near the analysis switch.

...maybe the relevant question here is "what does the cloud icon really mean?"

I found this...

https://lichess.org/blog/WN-gLzAAAKlI89Xn/thousands-of-stockfish-analysers

It claims "If lichess already has an evaluation for the position, you receive it, and done! Instant evaluation, without using your CPU." This is definitely not true presently. I suspect it's a bug. Lichess only uses both your local CPU and the cloud data. It never uses only the cloud data.

It uses your cpu as long as the cloud analysis depth is below a certain threshold (iirc depth 23). If the analysis is deeper, your cpu is not used.

Thanks!