Concerning style, usage, and correctness: what is the difference in meaning (and therefore usage & correctness) between these two phrases?
A quick search reveals both are in use.
Also, what other precedent for meaning, style, and usage exists for multiple phrases (adverb modifying adverb, or otherwise) with the same or nearly the same meaning?
Best Answer
Someone can correct me if I'm wrong but this is how I understand it.
Near and Nearly
Source: Grammarly Handbook
This means that both of the following are correct:
This essay is nearly complete.
This essay is near-complete.
If we switch to "Nearly universally", we are now dealing with "near" + adjective + noun. An example sentence could be:
This essay is nearly universally accepted.
This essay is near-universally accepted.
Here, some minor ambiguity is possible because there are two modifiers and a noun. To me, these both can have different meanings, if only slightly.
This essay is nearly universally accepted. The essay is very close to being "universally accepted".
This essay is near-universally accepted. The essay is accepted "almost universally".
Nearly modifies accepted while Near- modifies universal.
Usage
Neither of them sound great to me and neither is widely used. But of the two, nearly universally is more common according to Google NGrams.
I recommend skipping both and rephrasing into something cleaner.