I did not get your point. OG has quoted that "like" can mean "for example". But above you mentioned that
What does this mean for you- take note of the difference and if it's down to two otherwise identical options, recognize that like is supposed to mean "similar" while such as means "for example."
Joe is saying is that you should only use the distinction between "like" and "such as" if the answer choices are otherwise identical except for the "like/such as" distinction.
For example, let's say that we have narrowed the answer choices down to these two options:
A) She studied subjects such as history and economics.
B) She studied subjects like history and economics.
C, D, and E are all wrong for solid grammatical reasons.
In this case, we can see that the only difference is between "like" and "such as". Because of this, we can consider that "like" should mean "similar to" and "such as" should mean "for example". As a result, A is the better answer choice; this woman likely studied history and economics, not subjects similar to them.
Joe is saying do not use this distinction unless you are in this exact situation: down to two answer choices and this is the only difference between the two. I hope that this makes sense! :-)