The fact that this issue got worse after your bearings were replaced may be significant. The bearings have to be installed in the correct order, but even if that was wrong I doubt it would make that much difference. Although I dont know that for certain.
What is siginficant is that the wheel has been out. Take a look at my video for the St 1300 in the link below.
The 1100 is different, but the idea is the same.
Instead of two collars with flanges, the 1100 has a collar on the right (brake lever) side, and a speedo gear mechanism on the right.
The axle has a shoulder on it, and the idea is that this pulls the speedo gearbox across to the right hand side of the bike clamping together the gear box, the left bearing, the distance collar inside the hub, the right bearing and right hand collar. These are all pulled tight against the right hand fork leg when the axle bolt is tightened.
If the fork pinch bolts are tightened before the axle is properly torqued, this clamping cannot be achieved. If this happens the everything is apparently tight, but the wheel is able to slide side to side in the axle !
Watch the video how the bolt clamps everything together. The axle on the 1300 ends up flush at the left hand end. The 1100 does not - it has a hole for inserting a rod to hold the axle still while it is tightened. I seem to remember a score mark to indicate where the fork leg should align. Anyway watch - you'll get the idea and be a le to transfer that info to your 1100. Note that the fork bouncing is important before tightening the pinch bolts.
Animated sequence to show the correct procedure when installing the front wheel into the forks of a Honda ST1300. The right hand side of the bike is the side with the brake lever. Left is the clutch lever side. This is the convention used in the Honda manuals. The video and the photo below...
www.st-owners.com
The 1100 has a speedo cable. Make sure that the routing if that is not interfering with the steering. Also that when the axle is istalled that the lug on the speedo gear housing is correctly located in relation to the lug on the inside of the fork leg - preventing the gear from trying to rotate around the axle as the wheel turns.
And since the wheel has been out by someone else, just check that for each pair of brake pads, one is fitted on either side if the brake disk. Yes I know, but I have seen photos.....