It's another way of achieving the required castering (self centring) effect.
Most large a/c get castering effect by having the strut vertical and offsetting the wheel axle aft so the bottom of the strut is like an L, like a shopping cart caster. This means compression loads are offset from the strut compression axis, so side loads are imposed on the strut sliding bearing surfaces when it compresses, which are added to drag side loads. Plus, side steering loads put a lot more torsion stress on the strut than if there was no offset.
Canting the strut (called steering rake angle) lets you move the axle to be in line with the strut and eliminate geometric side loads upon compression, plus less steering torsional loads and slightly less drag side loads (some of which now becomes compression load), while maintaining the castering effect. You can really see this on the Connie, which has several degrees of steering rake and the wheel axle in line with the strut axis just like a motorcycle, which I'll guess was done because the strut was so long. You'll notice the A-320 with its canted strut also has its tire axis right on the strut axis.
It's the same for motorcycles and bicycles etc., to create a castering effect with very little tire axle offset. With steering rake the pivot (steering) axis for the wheel intersects the ground ahead of a line extending vertically from the centre of the axle. How far ahead determines the castering tendency, so the larger the angle the stronger the castering effect.
Probably the best place to observe this is to compare road bicycles to mountain bikes, which have less steering rake to make them easier to maneouver over rough terrain. It's easy to ride a road bike hands off with its larger steering rake; a little more challenging for the mountain bike.
I think the big downside to this config on a/c with double nose wheels is that turning the nosewheel left/right causes the inside-turn wheel to move downward and aft and the outside wheel to move forward and up, so there is asymmetric tire loading that gets worse with increases in steering angle.