I don't think it's an either/or situation here. More than one thing can be true. I'm fairly confident that my phone (galaxy s23) will sometimes/frequently not be "transmitting" the bluetooth signal all the time as the lucid app is designed to do. So, I frequently have to either wait (up to a minute) or pull my phone out of my pocket for the car to receive the signal. Sometimes, I actually have to unlock the app and in extreme cases, I have to open the lucid app. But, usually pulling it out of my pocket works and "wakes" the phone to send the signal to unlock the car.
The point is that it can be both the phone and the computer in my case.
I'm not as technical as many of you. So, I'm sure my wording is not accurate. But, that's the way I think about it in my little mind