Continuous connectifity with external speaker?

So I'm planning on getting an Echo Dot and I have a JBL Extreme 3 in my kitchen, which I usually play when cooking etc. I was thinking if the speaker would always stay on when connected to the Echo Dot so all I'd have to do is tell Alexa to play a song instead of turning the speaker on and off.

The Echo Dot would be in my living room, behind a wall, which shouldn't cause connection problems. I just can't find an answer anywhere if the speaker would stay on if connected to it.