Revisiting "ee.g." (versus "e.g.")

There are two distinct questions that can be raised about pluralising e.g.: (1) Should it ever be pluralised?, and (2) If it were to be pluralised, is writing ee.g. a good way of doing it? The OP argues at length, with some persuasiveness, that the answer to (2) is yes, by analogy to pp. The OP, however, assumes without argument that the answer to (1) is yes. Two of the answers on the page that the OP refers to say that e.g. doesn't need to be pluralised, but they are brief, and do not elaborate on the matter, so it may be worthwhile to do it here.

Consider

fruit, for example, apples and oranges.

This seems to be a perfectly natural thing to say, far more natural than

fruit, for examples, apples and oranges.

Why does it seem unnatural to use the plural, given that it is obvious that two distinct examples of fruit are given? The answer is that we do not think of example in the phrase for example as standing for specific countable, individuated examples that follow; rather we think of for example as a set phrase that modifies everything that follows as a whole. Note that example in for example functions very differently from example in

Some examples of fruit are apples and oranges.

In that case we would use the plural because example does not function as a part of a set phrase.

Given that e.g. is used in place of for example it should be treated the same way: as something than makes clear the nature of what follows as a whole. One should not think of e in e.g. as standing for countable, individuated items, just like one doesn't think of example in for example as standing for countable, individuated items.

Also, one should bear in mind that how something like e.g. is used, and for that matter that it is used at all, is a matter of convention, and the convention just happens to be that it is not pluralised; the occasional examples of ee.g. that one might see are far too rare to establish a new convention. If one insists on using ee.g., chances are that this will distract the reader from appreciating the point of whatever one is trying to say. It is thus unwise to use it, even if the arguments for its use might seem good in some way.

So to respond to the last, playful sentence of the question in the same manner: Mommy and Daddy are tolerant and they won't spank you for writing ee.g. However, Mommy and Daddy are gently advising you not to do that, because they don't want you to be hurt when your friends laugh at you for writing ee.g.