$ While in the "do the job situation" you liquidate the portfolio at $t_1$ realising its PnL (allow me to simplify the notation a bit) Trader A has designed some hefty PnL, In the meantime Trader B comes out with almost nothing whatsoever and his skipped out on volatility throughout https://cruzvnbly.losblogos.com/33237312/what-does-pnl-mean