Jamming isn’t so trivial because it’s not really the volume but the signal to noise ratio that really matters no matter how much energy the aliens use. Therefore, I propose that this question doesn’t make technical sense.
Take for example GPS. The signal strength is way below the noise and you can’t really hear it at all because it’s so weak. The background noise is overwhelmingly loud already. You have to process the signal out of the noise using special techniques to collect the energy you care about using statistical correlation. While can still jam the signal in general, jamming requires that you understand how the signal is being used to impact that signal to noise ratio and stop the information flow. Simply screaming into all frequencies might not have all that much impact unless you understand what a signal means for each use case. Many wireless applications are even point to point links that are great at rejecting inputs outside of the intended direction and even the wrong polarization. There are physical limitations that preclude a general all signal jammer.
That said, let’s say the aliens understand all of our wireless communication protocols. I think people would adapt after a short period of disruption because it wasn’t all that long ago that we were using wires for business and critical functions. Heck, some industry still use fax machines and famously a lot of old government tech still has software stored on floppy disc. I think we’ll be OK. Might even be better for our mental health once the phones stop working.
The cheap ones make a lot of noise already. I imagine to a passing alien spaceship we look like a giant EMP.