If you do the first half of a loop then roll out to fly horizontal (the right way up) from the top what is that mavouver called
For lower power, lower inertia types, it would be called "very difficult". At that stage in the loop, you're flying rather slowly, and possibly not at one G. The amount of airflow might be inadequate to perform a half roll up there, before you're no longer flying. A lot of drag is introduced by the control input to initiate a roll, and that drag can slow you right down, at a point in flight where you have little speed anyway. For higher power types, and those with engine torque as an aid, this is probably quite different, and possible.
Actually, depending upon aircraft type, you could equally well push with same radius...
If you were to "push" on the downward side of the loop, it would instantly cease being a loop, and become rather scary. However, you certainly can modulate your pull, to affect the radius of the loop. Indeed, a safe loop may be flown by relaxing the pull a little on the way down, and allowing the plane to accelerate, so it has the speed it will need to sustain the G of the pull out approaching the bottom, without stalling. This is a big part of the required pilot judgement, and resisting pulling like heck because you're seeing ground rush.
Ground rush with a 1000 foot AGL "floor" can be alarming, I can imagine the difficulty resisting it when the floor is much more close to the ground!