On media outlets frequent use of the term "Iranian-backed"

Hamas in Gaza, Hezbollah in Lebanon, Houthi rebels in Yemen, and militias in Iraq and Syria.

Whenever western media outlets speak of these groups they seem to prefix the term Iranian-Backed.

I'm starting to raise my eyebrows a bit at how universally the term is being used. It feels almost mandated. My understanding is these are indeed supported financially and materially by Iran, but they also very much operate independently. So the extent of the relationship is unknown or at least debated.

Does this strike anyone else as odd or suspicious? Is this use fair and justified?

My mind can't help but wander to the laying of a propaganda foundation for direct conflict with Iran.