Yes, different firmwares support different extra features (like mentioned turbo, ps2, combo with ps2 mouse), different pin mappings (A20 command might switch different pins).
One example https://alexandrugroza.ro/microelectronics/sy … sbmc/index.html
"You absolutely need an AMI KB-BIOS-VER-F keyboard controller in order to make use of PS/2-mode with the AMI BIOS dated 8/8/93. However other BIOSes can use different keyboard controllers. For instance, VIA VT82C42 which is readily available on multiple sources. Or other PS/2 capable keyboard controllers ICs such as HT6542B. I think you can also use one of the original 8242 microcontrollers. But you need to source one with PS/2 compatible software written inside."
"By examining the BIOS identification string that I decoded earlier in this article, we can see the BIOS expects a keyboard controller with an H version. Also it appears that the BIOS would not support PS/2 mouse signals as P22 and P23 of the keyboard controller are blocked. Let's just do a quick check on the keyboard controller that was originally present on the mainboard that this particular BIOS was tailored for. It is a JETkey V5.0 branded chip. I read somewhere on the Interned that these ICs are virtually Samsung Electronics ASICs."
"Adapting an 80386DX ROM BIOS for PS/2 Keyboard and Mouse Support" https://alexandrugroza.ro/microelectronics/es … bios/index.html