I suggest you look at the meanings of the noun forms of these words.
Changing a sentence where the word has been used a verb into a sentence where the word is used in a noun form doesn’t always work well. Such sentences often simply sound odd, unnatural and “forced”. This was the reason I asked you to try to change these sentences yourself. I was hoping you’d notice the difficulty of doing so with these particular sentences yourself.
Ex1: Noting/noticing how these animals sometimes walk with their tails up in the air is necessary. I do not consider this sentence to be interchangeable with the original sentence.
Ex2: My husband’s notice/noticing of me seems to hardly ever happen anymore. Although this sentence is grammatically correct, it sounds “unnatural” and “forced”!!!
I suggest you simply practice building sentences based on the meanings of the nouns — rather than ruining perfectly good sentences where the words have been used as verbs.