Its been referred to all hazards radio instead of just weather radio because it also communicates evacuation notices (think fire moving towards a populated area), civil dangers, shelter-in-place (think train derailment with hazardous materials), amber alerts (though those dont activate the alerting system on the radio), plus weather alerts. Its also the primary source of the the Russians are coming message, aka a Presidential Emergency Message or Emergency Action Notification/Termination: this dates back to the Nixon Administration when weather radio really became a thing. The EAN (and EAT) is the only thing within the EAS for broadcasters that has higher priority than a tornado warning.
A primary entry point is one that all other broadcasters listen to (theres a computeror really a deckinside every TV and radio station that listens for that buzzing-like noise coming from a primary entry point that tells it to get ready to interrupt programming and what the message is) and then copy it and rebroadcast it.
So, eliminating a primary entry point? Not good.