Is there a idiom, saying, proverb for if anything and everything (ideology, news, gadget, media, game or sports, etc) is over-sensitized (continuously spotlighted/too familiarize in public eye) then people become insensitive/lose interest/the idea, news... lose value.
When everything is loud, nothing is loud. That is, constant stimulation leads to exhaustion, not interest or focus. This saying seems to get closer to your nuance that "anything and everything" (rather than a single overhyped or overexposed topic) is being thrust at the public.
There is a part-duplicate, but the adage familiarity breeds contempt is relevant here.
familiarity breeds contempt [phrase] proverb
Extensive knowledge of or close association with someone or something leads to a loss of respect for them or it.
Examples from YourWebdesignShop.com:
Can saying something over and over make it more credible and common sensical? Or was Aesop right in the Fox and the Lion fable when he famously declared that familiarity breeds contempt?
His second point is that TV has given credence to the axiom that "familiarity breeds contempt", by over-exposure with a resultant lessening of the welcome by the audience.
I'm not sure if this is what you have in mind, but things that are very common are often said to be "a dime a dozen".