Unaware/Ignorant, but not completely

Solution 1:

If a hyphenated word is acceptable, a term commonly used in this sense is ill-informed.
The example sentence below uses both ill-informed and ignorant, so you can see the difference.

Lexico:

ill-informed ADJECTIVE
Having or showing an inadequate awareness of the facts.

‘ill-informed opinions’

‘All the parties of the Scottish parliament should be fighting against the rantings of the ill-informed and ignorant.’

Solution 2:

nescient may be a candidate.

Some definitions simply equate it with not knowing. Here is one example:

nescient = not having knowledge about something

Cambridge Dictionary

But others seem to admit to some - but imperfect - knowledge. Here is another example:

Nescient = uneducated in general; lacking knowledge or sophistication

Vocabulary.com

In this example, a lack of general education implies a little knowledge; a lack of sophistication implies some crude but unpolished understanding.

Nescient may therefore fit your specification.