Thank you for empirically confirming my point about Knuth's perfectly symmetrical infinity symbol. Based on your comments, I feel that I must mention the rather obvious fact that symmetry in this context strictly refers to the underlying geometry (i.e., the symmetry of the locus of the lemniscate), and excludes the added serif stylistic characteristics, which naturally tend to remove some of the symmetry. If you assumed that I was referring to the reduced symmetry due to the serif elements, you are wrong, and missed my point completely.

Now, compare the beautiful and harmonious symbol shown above, with the "serif symbol for '8', rotated by 90°" asymmetrical utter monstrosity that you posted in your earlier message, which I'm including here as a screenshot, in order to avoid font rendering ambiguity:



Note: If the symbol in the above screenshot does not appear asymmetrical (as far as the locus of the lemniscate is concerned) in your original post on your screen, then we are in full agreement, and the culprit is my PC's low-quality serif font (Times New Roman, included in Windows 10, is my guess), as you've already mentioned in your reply.

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Edit: Oh, and trust me on this: I'm extremely picky about typography, maybe as picky as you, if not more! This is not meant as an offensive comment. I think there are very few of us left. I'm always happy when I find another one...

Edit 2: I fully support your suggestion about using L^AT_EX as a markup language for posts here, in the way it is used in MathOverflow (Stack Exchange), for example. It's a pleasure to post there because of this, among other things.