Impressive proof the universe is safe from Lucy. Is the reverse true. Is SETI similarly hopeless? Or is there some alternative transmission method that theoretically could bridge such distances?
The problem for any civilization wanting to communicate is, where to point your transmitter beam? There are some ways to weed out non-candidates; blue supergiants, red drarves, variable stars, and tightly-packed regions with many stars are bad choices, because life isn't likely to survive there.
NASA, and I think, the SETI Insitute, sent SETI transmissions toward Epison Eridani, because that star is similar in type to our sun. They've also tried to listen in the direction of Epsilon Eridani and similar stars.
What message would a putative alien civilization send? It has to be something mathematical, because assuming a common basis for language is Star Trek science fiction. The bit rate it has to be sent is going to be EXTREMELY SLOW, because your intended audience has to be able to correlate it our of the noise. So, your message needs to be small. Something like, maybe the first 10 prime numbers, repeated, then maybe the squares of the first 10 prime numbers, repeated. After that, maybe you could send a 10 x 10 bitmap... though that makes an assumption about vision.
Your intended recipients also have to be able to guess (pretty closely) your transmission frequency. Using a harmonic or subharmonic of the neutral hydrogen line frequency (1420.40575 MHz, or about 21 cm wavelength), or even that frequency itself, would be a good natural choice.
Me, I think the whole thing is pretty hopeless.