Using "neither" without "nor"

Solution 1:

Using 'neither' after a non-negative-verb main clause (Mirabeau pointed out ...) does not work.

*John said he didn't like tomatoes, though he neither went to buy any.

A valid sentence is:

John didn't say he liked tomatoes, and neither did he buy any.

Solution 2:

You really need to introduce a preposition or conjunction or two to make it work. 'Although' seems to me to be the word that is cramping things, as it does some of the work of 'neither' too.

Possibilities:

Whilst Mirabeau pointed out that the text was not his, neither did he provide the names of its authors.

Mirabeau pointed out that the text was not his, but neither did he provide the names of its authors.

Edit 6/July/2020. It was six years ago that I wrote this. And just thinking of it again, I am wondering why "neither" is used at all. The first clause is not strictly negative (He pointed out...). So neither seems out of place.

I think it is better written: Mirabeau pointed out that the text was not his, although he did not provide the names of its authors.