Don't apply that, no. That's for situations like two people are next to a treasure, and they both dive for it at the same time, or other similar things.
The Charge rules should be the same for standard charging as well as for Ride-By-Attack: as there is no notation that they are different. Clearly, RBA does not follow the absurd center square rules, otherwise you'd have a notation like:
In addition to attacking, you run over the opponent, doing extra trampling damage.
Also, if the rules were different, you'd have a notation like:
Normal: Without this feat, you may only charge along a straight line to the center of your opponent's square.
Clearly, neither are true.
Also note that if you take away the grid for a reality check, consider jousting Knights. They are clearly charging, and yet they are not noving directly into their opponents... there is a barrier between the two that prevents this. Thus, they are charging along a line that does not directly pass through their opponent's 'square'... realistically permitting this situation.
The Charge rules should be the same for standard charging as well as for Ride-By-Attack: as there is no notation that they are different. Clearly, RBA does not follow the absurd center square rules, otherwise you'd have a notation like:
In addition to attacking, you run over the opponent, doing extra trampling damage.
Also, if the rules were different, you'd have a notation like:
Normal: Without this feat, you may only charge along a straight line to the center of your opponent's square.
Clearly, neither are true.
Also note that if you take away the grid for a reality check, consider jousting Knights. They are clearly charging, and yet they are not noving directly into their opponents... there is a barrier between the two that prevents this. Thus, they are charging along a line that does not directly pass through their opponent's 'square'... realistically permitting this situation.