thin, see-though fabric
Some of the most expensive cotton fabric I have ever purchased was a very "thin" - "see-through" - cotton batiste (?) that I bought to make a baptismal gown for our children.
It is tightly woven with very fine threads - but it is "thin" - and it is "see-through"
The important thing -IMO- about buying fabrics - are they suitable for your purpose?
Cotton cheesecloth/gauze is very appropriate for some things - where the most tightly woven batik would not work at all!