So the umbrella wiki is slightly confusing:

(added bolding for emphasis)

A portable, collapsible covering on a stick used to shield the user from rain and sunlight, or as a decorative item in drinks. It can be a variety of shapes, most commonly cones and domes.

Related tags:

...

• drink_umbrella

Not to be confused with:

• beach_umbrella
• parasol

See also:

• leaf_umbrella
• wagasa

Will try to be brief: one issue is the wiki seems to be saying the drink_umbrellas should be tagged as umbrella, (included in 1st paragraph and NOT in "Not to be confused with" section)
but drink_umbrella doesn't IMPLY to umbrella.

If we (e621 members) think that drink_umbrella tag should NOT imply to umbrella (i don't think it should),
then i suggest we move "drink_umbrella" text (on that umbrella wiki page)
TO "Not to be confused with:" section.

The tag should be cocktail_umbrella (topic #46581), and should not imply umbrella. The two have different purposes, and that's why even parasol doesn't imply umbrella

snpthecat said:
The tag should be cocktail_umbrella (topic #46581), and should not imply umbrella. The two have different purposes, and that's why even parasol doesn't imply umbrella

maybe it needs an umbrella tag.