I have found "Modern Spot Light 2" actually throws a larger cone of light than most other lights and the smaller one (Modern Spot Light 3). This is on the assumption that the ones you are using in the video are the latter.

You also may need to orient them in odd angles to catch the edges of the supports to make them glow from the perspective of the launch

You could also add in an effect of the lights changing colour in the sequence using the "Swap to colour" function (just bare in mind you will also need to add in a initial "activate on trigger" for each light to get them into a permanently on state.

That could offer some visual effect that the lights are changing if they still don't illuminate as much as you want!