Update of the situation:
I've established with James that I will send him the bearing that I have. Unfortunately I could not send it, as I've damaged it by a stupid mistake.
You can see my work in the pics below.
I've started to get the bearing out of the spare column I have. I got the shaft out nice and then I made the mistake of trying to get the bearing out by pressing it down the same direction the shaft went out. I put the shaft upside down in the bearing hoping not to damage it. Later I found out there is a stopping ring that do not allow bearing to go down further more than it sits, but by that time I've damaged it by bashing into the shaft. I tried to get it out by downward route thinking that although the upper route is shorter maybe I could not unbent the tabs completely and they would hold the bearing. As I've said, a stupid mistake.
But I want to mention here the fact that now, after I saw how that bearing looks like, I think James is right and that bearing really is the reason of play into his column. I couldn't believe it until I saw the bearing and that is because I assumed it is a normal balls/pin rolls bearing. But in fact it is made with very small balls and also have 2 gaskets inside, 1 up 1 down. That is the damaged I've done, I broke those gaskets, one remained inside but part of the other you can see in the pic. So that is a very sensitive bearing that can easily get damaged (not my case as I really hit the one I broke) and maybe people who had the problem with it changed them with a functional one from another column as they cannot be bought on the market.
But I cam up with a fixing solution, that is a DIY bearing made out of pin rolls size 7mm x 10mm length, 12 pcs put between the shaft and the sleeve, plus for the last gap, as it is smaller then 7 mm, use a 6 mm pin roll. To have them sit in place, use 2 washers, one underneath and one above. You can see this in the pics as I've taken the upper column and went into a bearings shop to check if they have what is needed and how it fits. It fits very good.
The needed size washers are not to be found and for testing reasons I tried with what I could find. That is a 30x36mm copper washer and it holds the pins nice in place, no play and there is still space left for the tabs to be bent in. I thought that washer is not large enough to hold the grease in, grease that anyone will put into a bearing, being it self made, to work correctly. So for that to be corrected I found they have copper washers (by the way the height of washers is 2mm) size 24x30 and one of that can be put into a 30x36mm one, put some gum between them on a side and on the other side solder them together. The gum is just for the time soldering is done, to block the soldering material pouring through and then it can be taken away and place the obtained larger washers with the soldered part outside the pin rolls. Another way is to have done by a lathe a needed sized washer (well, actually 2 as one comes on top), the size can be 22.5 or 23mm x 36mm and they can be done by copper or another resistant material.
The costs of washers and pin rolls here is about 9 pounds.
James liked this idea and he even got it further and came up with another fix: a bush made by Delrin bar with the help of a lathe.
