Aliens in the business of contacting emerging civilizations must find themselves with an interesting tradeoff between transmitter power usage and contactee technology level- at a guess, it would be exponentially more expensive to contact species earlier on in their development. We may still just not be far along enough that the cost-benefit ratio makes sense to talk to us.
People keep digging in this area because it's hard to measure accurately so we're not 100% yet, but the current consensus is that the interaction between entangled particles, isn't faster than light and should not be faster than light.
It's great to be hopeful and work towards such technology but you can't discard the very, very real possibility that the speed of light can't be exceeded or that doing so to communicate might require a Type II or III civilization, which might also be practically impossible to achieve due to the speed limit for travel.
"The Kardashev scale is a method of measuring a civilization's level of technological advancement, based on the amount of energy a civilization is able to utilize.[1] The scale has three designated categories called Type I, II, and III. A Type I civilization uses only resources available on its home planet, Type II harnesses all needed energy from its local star, and Type III of its galaxy."
"Heavier than air flying machines are impossible." -- Lord Kelvin
The physics didn't change, just our understanding of how to manipulate them.
One cherry picked quote demonstrating a famous scientist's lack of imagination does not represent the scientific consensus, especially since da Vinci's lift and thurst research (based on heavier than air flying birds) from centuries earlier was well known.
So I assume that you think they fear being found and are not trying to communicate (I find it unlikely they just don't care, as humans we are very interested in working out communications in the most simplest animals and plants)
Yet we have found them with our 'primitive' technology.
We found them because they built massive space structures. 1300 years ago, we were invisible.
We can't see anything because we have not yet discovered what we're looking for.