Usage of "resoundingly"

I remember: adverbs can modify both nouns and verbs.

A wee bit more than that and not as much as you misremember, Punkey.

M-W: adverb

: a word belonging to one of the major form classes in any of numerous languages, typically serving as a modifier of a verb, an adjective, another adverb, a preposition, a phrase, a clause, or a sentence, expressing some relation of manner or quality, place, time, degree, number, cause, opposition, affirmation, or denial, and in English also serving to connect and to express comment on clause content In “arrived early” the word “early” is an adverb.

There's a difference between using something correctly and using it well. When something is resounding it stands out, and in your examples the wrong part stands out. It is the swimmers' performance that stands out, not the way it makes the news, and it would have to be a very slow news day for it to push all the other stories into second place.

The swimmer resoundingly broke the previous record.
The success of Dr Brown's time machine resoundingly smashed our understanding of physics.

Btw, ignore Camlok he's an attention seeker with a load of crackpot views who has been put on ignore by most people on A2K. He often takes up a contrary stance in a desperate attempt to be noticed.

Here's an example of an adverb modifying an adjective:

The swimmer's record-breaking performance made resoundingly good news.

performance/ made/news
good news
(how good?) resoundingly

Now there's typical nutty Izzy advice. Giving advice on English is not Izzy's long suit. I'm not sure what is.