Radical Pronunciation - Helpful to Learn?
To answer your question, I think the answer is no.

Learning radicals is indeed a good idea to improve your character recognition (and also remember them better, for writing).

For example, knowing that the character 想 is composed of three radicals (tree, eye and heart) is useful if you study its etymology/origin or if you want to create your own mnemonic to remember this character.
It makes more sense than remembering the strokes individually.

However, knowing how to pronounce those radicals does not help to achieve this goal. And as you've mentioned, their pronunciation is sometimes tricky. I think you're just find with remembering the radicals by their actual meaning.

That being said, any knowledge is still valuable, and knowing the pronunciation of radicals has the advantage to allow you to have conversations about radicals with Chinese speakers. 
I personally never learnt those pronunciation, and my level in Chinese is very close to native speaker. And every time I ask details about a character to Chinese friends, I'm struggling when they tell me that it's composed of radicals X or Y!

Hope that answers your question!
Wish you pleasure and success in your studies.