Use 'woolliness' to describe situations where words or thoughts are not expressed clearly.

Ambiguous Communication

'Woolliness' implies a lack of precision, which is typically undesirable in formal or academic contexts.

Avoid in Formal Writing

Consider 'woolliness' a subjective term; what seems woolly to one person may be clear to another.

Use 'woolliness' when you want to describe something soft and thick, like wool.

'Woolliness' can describe objects that aren't wool but have a similar feel or look.

In the context of texture, 'woolliness' might be seen as a positive, cozy characteristic.