Okay,
I now need the help of someone who actually knows what they are doing/talking about, since I have no clue. I am a total electronics noob, and I assume this question will make me seem really stupid.
Anyway. I have this Amiga 2000 keyboard, that I want to convert to USB with the help of the Aikon controller. So what I did was follow a Korean guide on how to figure out rows and cols with a multimeter. The Amiga keyboard has one main IC chip with 40 pins, so I was able to follow the guide straight along:

*Picture is not the actual Amiga keyboard, taken from
OTD.kr guide.
That worked awesome and I had the full board mapped out for rows in like 20 mins, by holding one end of the multimeter to the left (solder side) pin of a switch and then just sliding the other side over the IC until I get a beep from the multimeter. So far so good, full matrix done:

* This is my excel chart of the Amiga 2000 keyboard, numbers are the actual IC pins as shown.
Looking at the picture and what I wrote above you may already see where this is going. I have all the rows, but I'm lacking the cols. Holding the multimeter to the right pin of the switch does absolutely nothing with any of the IC pins. I am assuming this has to do with the diodes that are in the COL circuits, but my electronical knowledge is too low to solve this problem.
So in short: How am I supposed to figure out the cols?
I could do this by bruteforce with a hotwire while the Aikon is connected, but I would rather learn how to do this properly and maybe actually understand it.