Amy, I don't recall ever having tried it, but I don't see any reason why you can't use bullets in a table cell. Looking at your example that displays lists in multiple columns, I have done that on THIS WikiTree page, although I did not use bullets.
Melanie said "the visual end result is the same" but that is only true if the text fits on one line.
When a bullet tag (it seems soooo weird to call something not contained by angle brackets a tag, but such is the aberration of wiki code) is used, if text wraps then it will be indented to where the text starts on the first line.
If you use the entity code (starting with "&" and ending with ";"), if text wraps then all subsequent lines will start at the left cell margin under the bullet character. Also, if you want the bullet character indented from the normal cell margin, you need to use the space entity a few times to force spaces before the bullet character, as:
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