I can see the origin of the confusion here. It is semantic.

Let me just restate the idea. Both of the methods we are discussing for detecting exoplanets (Doppler and transit) work best if the astronomer's system lies in the ecliptic plane of the observed system.

The transit method only works if the planet actually occults the star, an almost perfect alignment with our line of sight. The Doppler method works best if we are in the star's ecliptic, but the alignment doesn't have to be perfect. However, the more tilted their ecliptic is to us, the radial velocity component becomes smaller and harder to measure by some cosine theta term. If the star's ecliptic is at right angles to our line of sight, there is no Doppler effect at all. BTW, there is yet another technique we haven't discussed yet, the astrometric method, where wiggles in the star's motion caused by gravitational tugs from an unseen planet are used to infer the presence and properties of a companion.

If we assume aliens are predominantly using Doppler/transit techniques, then our planetary system would be more likely to be discovered by aliens whose worlds were in our ecliptic plane.

TB pointed out correctly that because of this we would be more likely to be receiving hailing messages from stars in our ecliptic.

I'm sorry if I got crossed up in my earlier posts. It's hard to discuss these geometrical relationships without a cocktail napkin to scribble on.