Of course, striking is just as much about skill as grappling.
But there is a definite difference in traditional BJJ strategy and striking, which is what Rickson is referring to, I think:
There is always the point where you have step into the pocket, in order to hit your opponent and there you can never fully discount the chance of him hitting you. While I wouldn't call that a lottery, It is certainly unsafer than the strategy of:
Takedown (stay safe), advance to sidemount (stay safe), advance to mount (stay safe) submit or punch.
You just cannot do that with striking. Especially because you cannot control the opponent for a length of time on the feet. Engage - disengage, while in BJJ you can control him and sequencially take him to a worse spot until you submit him.
A good striker will definitely control his opponent on the feet. It's just an indirect and subtle form of control that honestly most grapplers simply do not comprehend due to their own inexperience with it.
A good striker controls the entire match. He controls the range, he controls the pace of the match, etc. He learns how to force openings in his opponent so that he can attack just as safely as you would attack in BJJ.
Obviously there is always some chance of being countered, but it is the same in BJJ. You wrote (stay safe) after every step, and that is the idea, but bad things can happen in BJJ just as with striking. The worst case scenarios are:
Takedown (get reversed)
Advance to sidemount (get caught in a submission during the pass)
Advance to mount (guy gets his guard back)
Submit or punch (guy escapes from the mount)
A good BJJ guy is going to use his skill to minimize the chances of the worst case scenarios. But a good striker does exactly the same thing too. A good striker does not trade blows and just pray for a good result. He uses his skill to unbalance his opponent by messing with his range and timing. When a good striker chooses to press the attack, his opponent is off balance and in no state to counter him effectively.
Rickson talks about invisible BJJ all the time. He means the little moves that only skilled guys can see that make all the difference in the world. However, he is completely ignoring the invisible striking of footwork, timing, balance, etc. Just as Rickson uses his invisible BJJ to stay safe the entire match, a good striker will also use his invisible striking to stay safe the entire match.