So the premise is that the folks in the Trappist system are either multi-planetary (more advanced than us, talking planet to planet), or communicating with spacecraft orbiting other planets (like us). In the first case, transmitter power is planetary size (and we have to assume less than an Arecebo sized transmitter, because, how impractical is that?) In the second case, we would only get half of the possible near-occlusion spillover events, because it is unlikely that a small spacecraft like we might have will have planetary sized transmission power, and so we only really have a chance at the planetary scale transmissions.
We humans are not too far away from relying solely on laser optical communication links (especially with interplanetary spacecraft), precisely because of the inefficiency of RF transmissions, and how much lower frequencies spread and attenuate with distance.
I find it unlikely to imagine that our extraterrestrial friends will not also be using directed energy in tighter beams, with higher frequency optical bands which are capable of higher data rates and distance with less power. I fear that while the direction seems good, we are listening to the wrong bands, and must assume that they, like us, are about done with RF.
JWST is more likely to pick up what they are saying, if anything, in infrared.
https://www.youtube.com/watch?v=MDMM9MZNcco
www.nasa.gov