Very rough comparison of input delay on my set-up between a DualShock 4 and the 8BitDo Mod Kit for Original PlayStation Classic Controller ( https://shop.8bitdo.com/products/8bitdo-mod-kit-for-original-playstation-classic-controller ), both connected by Bluetooth to my Windows 11 laptop where I had them triggering Lilith's Light Punch aka jab in Practice Mode of Darkstalkers 3 for PS1, running in the emulator "duckstation."
After recording, I play the video back frame-by-frame and count the number of frames between the button being fully down, and Lilith's punch starting to animate. You can do this in YouTube by making sure you're getting 60 fps playback, pausing, and, on PC, pressing the "." (period) key to advance the video frame-by-frame.
This comparison is NOT scientific or conclusive and probably won't reflect whatever you get on your own set-up.
My ~4 year old mid-range gaming laptop: a "Sager NP6858CQ 15.6-Inch Thin Bezel FHD 144Hz Gaming Laptop, Intel i7-10750H, GTX 1660Ti 6GB, 16GB RAM, 1TB NVMe SSD" https://www.amazon.com/gp/product/B089KW3Y1R bought in summer 2020, outputting to a 60 Hz 1080p Asus 5ms monitor. Component output via OSSC for the PS2. Hori Real Arcade Pro V 2017 PS3/PS4 arcade stick--through a Brook Super Converter on the PS2.
With both controllers, I counted VERY roughly an average of about 4 frames between the button being fully pressed down, and Lilith's jab starting to animate.
It was harder to tell exactly when the button was fully pressed with these small rounded buttons than it is with the big flat slappy buttons of the arcade stick I'm usually testing with. But yeah the two pads were roughly the same latency as each other far as I can tell.