Starsector 0.97a is out! (02/02/24); New blog post: Simulator Enhancements (03/13/24)
I think it would be cool if you could see what direction the beams are in when you look at the star from hyperspace. It's more subtle than a warning, but still lets you avoid accidentally jumping into the beam. It could look pretty cool too.
We get a warning when there's a hostile fleet on the other side of a jump gate, but no warning at all about dangerous terrain (pulsar beams). Surely whatever probes we are using are able to detect those? I personally like the sensation of being blown away straight out the gate, but for newer players not knowing to burn immediately or having emergency supply stockpiles that's probably a reload.