I agree this thread is useful. Your last sentence above is very encouraging!
There are a couple of inaccuracies in what you have said, and there are also some inaccuracies in the Barry Stark video. While his credentials as a Snooker coach and all of his advice on the topic is excellent, lets not pretend he is a physicist. The problem with both your and Barry Stark's descriptions is with the use of the word "momentum". If you are aware of the idea of conservation of momentum, then you know that all of the energy required to make the object ball move is LOST by the cue ball. And then some. The cueball begins with a whole lot of kinetic energy, and of different types. "translational" kinetic energy, or momentum, is only part of the energy that the cueball has. It also has rotational kinetic energy. At impact, a LOT of things happen. Energy is lost to heat, sound, friction against the cloth, etc. When the conservation of momentum equation comes into play, the rotation of the cueball is not so much a part of that equation. The equivalence in the conservation equation is between the energy LOST by the cueball and gained by the object ball. So to say that the cueball "still has momentum" in its initial direction is not correct. The altering of its initial direction IS the energy imparted to the object ball. If the masses of the two balls are equivalent, then the new trajectory of the cue ball is ALWAYS on a line parallel to the line tangent to both balls at the point of contact.
At this point, it has nothing to do with the cueball's "momentum" where it goes. It has to do with its remaining rotational kinetic energy, This energy gets converted into friction and an altering of the path of the cueball from the tangent line. (For sure, there is a conservation of rotational energy as well. Some of the cueballs rotation is imparted to the opbject ball, some is lost as friction, and some is converted into translational kinetic energy, while still some remains as rotational kinteic energy as the cueball rolls to a stop.)
When you can think about the separation of all of these forces and their vectors, and the interplay between these different types of energy, I think this topic will become more clear to you. I would recommend in the future, however, to get your physics info from physics textbooks rather than from Snooker coaches. I'd likewise avoid the physics books for pool instruction.
KMRUNOUT