The inscription does not disappear.

"Stockfish 10+ server analysis" text does not disappear when game analyzed so could not see a diagram from beginning of the game. Is it only on my computer or somebody else has the same issue?

I have the same problem, it exists since the start of Lichess V2. Refreshing the page may help, but if you refresh soon after the analysis has been completed, the analysis itself also may disappear. It's an annoying bug that should be fixed.