The PnL among $t$ and $T$ would be the sum of all incrementals PnLs. That's if we denote by $PnL_ uto v $ the PnL involving times $u$ and $v$, then When you hedge every single minute, you wouldn't recognize the full pnl of the larger sized SD moves however, https://www.youtube.com/watch?v=qMmsQ4kKgY4