A Term should exist as 'a term', aliases should not have their own entry.
Aliases shouldn't have a 'separate' entry in glossaries, but ought to be mentioned just in the 'main entry' they can be searched with either specific or lazy search option. This can tighten the glossary a bit more instead of riddling it with additional 'terms' that are in fact only aliases.
A term should reflect the actual term, not alternates for it.

A Term should exist as 'a term', aliases should not have their own entry.
Aliases shouldn't have a 'separate' entry in glossaries, but ought to be mentioned just in the 'main entry' they can be searched with either specific or lazy search option. This can tighten the glossary a bit more instead of riddling it with additional 'terms' that are in fact only aliases.
A term should reflect the actual term, not alternates for it.
