And do wheeler landings reduce the overall landing distance?
That depends on the type of airplane.
From my own experience flying tail wheel airplanes the best example I can think of is the DC3.
If I wanted to really land it short I found wheeling it on at minimum airspeed and once on the ground / runway use forward pressure on the elevators to increase weight on the wheels allowed for maximum braking and thus a short landing.
I never managed to get one stopped in the same distance when three pointing it.
Whilst having wheeled a few types on I could never see the supposed advantages in a crosswind
The advantage is directional control is better due to higher airspeed just prior to and at touchdown allowing for better control in case a go around becomes the best choice.
Conversely should directional control be lost at the stall or after the stall you have to accelerate back to flying speed to reject the landing...