Never found paddle shifters to be in the same league as a manual transmission even in modern high performance cars. There's always that bit of lag and delay with automatic that there isn't on a manual.
Maybe you've only driven traditional automatics with paddle shifters slapped on? I've driven quite a few high performance sports cars with twin-clutch automated manuals, what most people would call an automatic (Cayman, GT-R, Evo X, etc) and the shifting using the paddle shifters is WILDLY faster than I could ever shift (I drive a 400+whp manual every day). There's a reason sports cars with heavier twin clutch transmissions still beat their manual counterparts in 0-60 and quarter mile... No human can shift as quickly as the computer controlling the clutch.
Drive a Porsche newer than 2012, like a 981 or 991.1 or newer. The PDK transmission is very good, almost telepathic. Slight push on the throttle and it downshifts into the meat of the torque band. I currently drive an E92 M3 DCT which suffers from the "lag", which is why I'm on manual mode most of the time.
I can't be as fast as a modern automatic. Maybe it's just me, but the time taken to depress the clutch, shift, then release the clutch is always longer than in automatics today.