Well to the first point you are correct, finish a drive with points is better than ending a drive with no points, I'm sure most people would agree with that.
The rest of what you are describing is an execution failure, not a failure due to pace. Each team is going to get ~10-12 possessions per game. The opportunity to execute your offense and score 27+ points isn't constrained by going at a slower pace. It's constrained by your execution.
So a 3-0 game is a higher risk to go against you, again you've picked up on the risk element of the opponent getting lucky while on offense but if you were efficient in your use of the 10-12 possessions you wouldn't have only 3 points.
If the logic doesn't make sense to you go look up the stats. The correlation between numbers of plays and scoring is low, something like .20 ish, the correlation between efficiency (EPA) and scoring is very high, something like .70ish.
Going faster while struggling with execution is the exact recipe to give your opponent more opportunity to beat you.