In my opinion as a reader, the 'or' is implied too.
This is how I read your question:
When writing such a list, I would not use:
- capitals [OR]
- end-line punctuation [OR]
- incorrect grammatical structure.
As soon as the 'not' appears, the 'or' is implied after every bullet point. That is why it is uncommon to specifically write 'or' with the penultimate point.
As Robusto points out in comments beneath the question, there is no universally acknowledged rule governing whether to include or omit a comma after a conjunction at the beginning of a sentence. Robusto reports preferring to include such commas in academic documents, but many other writers and editors would not include them.
In my experience copyediting manuscripts for book publishers (including university presses) and later for magazine publishers, I don't recall ever having encountered a house style that required adding a comma after "And," "But," or the like. To the contrary, most house styles either said nothing at all on the subject or recommended omitting such commas, presumably for the reason that Words Into Type, third edition (1984) gives at the start of its long section on comma usage:
A comma should be used only if it makes the meaning clearer or enables the reader to grasp the relation of parts more quickly. Intruded commas are worse than omitted ones, but keep in mind at all times that the primary purpose of the comma is to prevent misreading.
The argument for including a comma after an opening conjunction is not, I think, grounded in a desire to make the meaning clearer (since the meaning tends to be quite clear without the comma, as Peter Shor indicates in a comment above), but rather in a desire to demarcate with exactitude the boundaries of the parenthetical expression that follows. Why Gregg Reference Manual would insist on such precision at the beginning of a sentence but not in the middle of one is a mystery to me.
There is nothing inherently wrong with using commas to break out parenthetical phrases regardless of where they appear in a sentence: It increases the number of commas in a work while (arguably) not making the sense of the text any clearer; but it's a style decision, and style decisions—if followed consistently—don't need to be justified.
On the other hand, if you don't want to add a comma after a conjunction at the start of a sentence, I don't think that you should consider yourself to be under any obligation to the preferences of Gregg Reference Manual unless your publisher has instructed you to obey it.
Best Answer
Alan Cochrane, a competent writer, used one in the Telegraph:
This looks perfectly acceptable to me.
Note that this sense of nevertheless is synonymous with 'anyway' (though the comma would usually be dropped here). It is a 'sentence adverb' or what I'd call a 'pragmatic marker: class concessive/cancellative' (see David Bell; Science Direct: Journal of Pragmatics) usage.
From Collins Cobuild:> nevertheless [adverb]
Notice that the positioning of even a clause-modifying 'adverb' is quite fluid.
...................
But here:
a comma would not be heavy-duty enough. Two sentences are needed, or (as they will be semantically closely related) the equivalent use of a semicolon.
'Nevertheless' in this role is classed as a 'sentence connector' by some authorities (eg Collins) and as a 'conjunctive adverb' by others; it behaves differently from say 'but'.
Grammarly [modified] contains: