inconsistent analysis even within the same pane

several times now I've noticed when going through the analysis of a game after it's over that the top pane and board will highlight one move as the best, and the move-by-move analysis immediately below says that a different move is the best (and it has the continuation, when it has a continuation, for that move). E.g., just now I see Nxe5 (+8.24) on the top and that's the move highlighted on the board, but the move-by-move section says "(+2.47) the best move was 10. Nxc7+". I understand that the engine may not always give the exact same results when run twice (and sometimes one instance scores what another instance calls a "best move" a "mistake"!), but surely this is all coming from one run?

With game analysis the key is time. The more you let the engine search the more correct it will be.

Ok … and? These distinct analyses are being shown on the same page, at the same time, after the same amount of time. If one is the result of a different, later analysis, then the other should be updated to it. There's little sense in keeping the older one around.