YES, knowing the rules will help you win more games. Near Identical plays. Why one was safe and why one coach was EJECTED. Umpires have to deal with a lot during games. Dealing with coaches who don't understand the rules is probably the most frustrating.
With no runners on base and a routine out at first, the batter/runner should NOT use the runner's lane. If you're only safe on an error, why not try to cause an error by being in the way of a throw?
With runners on base, then use the runner's lane or risk getting out AND failing to advance any runners.