I am not sure what is normal. I have a 2030 and I think mine has even more play than yours, but it's 40 years old and it was 20 years old when I got it. At the slow speeds I use mine I do not notice it (most likely used to it) Only when I "road" mine, 8th gear 2500rpm it's a problem. It wants to wander a lot. Also if I hit a hole or bump it will sometimes go into a bad wobble, the front wheels moving back and forth real fast at maybe a 5-10 degree angle. I think the wobble is the bellcrank bearings (#3 in drawing two posted by TxJim). The play I suspect is the column needs to be rebuilt (in my case), but not until it fails.
I will check how much play mine has next time I use it.