@TigerAlen410 Manual vs automatic transmission is not about how fast or slow the game changes gear for you. It's about having control over your ride.
Timing your downshifts as to induce more rotation with engine braking when you need it.
Timing your upshifts as to cut down on power when you need it on corner exit (short shifting), or to go a bit longer on a gear to keep the engine at the end of the power band as you approach the braking zone instead of upshifting it away from it.
There are a few tenths you're leaving on the table by using automatic gears as well, but that's secondary to having better control over your car.