Are all PS/2 to USB splitter adapters bad for old PS/2 keyboards?

Hello,

Are all PS/2 to USB splitter adapters bad for old PS/2 keyboards? I have 
two different brands PS/2 to USB splitter adapters for my old PS/2 
keyboards & mouses for two different old home built PCs (updated Windows 
10 Pro. and Linux/Debian trixie stable [even in its text mode]). I 
didn't want to buy new mouses and keyboards since I have many old ones 
to use. I'm a fast typist on clicky keyboards, but I noticed results are 
not fast and good. When I hold a letter/number down and then press a 
Shift or Caps Lock key to show its opposite, the repeating results just 
stop showing (nothing show anymore). This is annoying when gaming like 
when I use W to move forward and want to use shift key. When I type 
fast, I get incorrect, missing, or duplicate characters.

It's very annoying! PS/2 mouses are fine though! Are splitters not good 
and I have to get USB PC104 keyboards? :( Thank you for reading and 
hopefully answering soon. :)
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