As I said... most rugby players do big compounds for power and do shuttle runs.
If you know your way around weightlifting, simply carry on with squats, bench, DL and OHP, but on the 'off days' get busy with interval training.
Eat like a horse, too, as you'll need carbs and protein immediately after training with a big scoff a couple of hours after for recovery purposes ('swot I do, anyway, and it seems to help), and then just keep eating protein and healthy fats with carbs in balance for the rest of the day.
Finally, don't be so defensive about your sporting preferences because I - and I suspect most people on this forum - don't have an opinion on it, short of reacting to the video you posted. You've had two very experienced gym-ophiles explain what you need, and this is my third post in this regard, too, but you seem to want somebody to confirm what you want, rather than reading the advice given to you.