Only if you have a single customer, the one that holds the other end of your channel. Otherwise your node must be public because your customers must find a route to it. But it can be behind Tor.

Don't know, my guess is yes.

But if you are a merchant, you typical give up some privacy. So what is your priority, being a merchant or privacy.

sime

What about being a merchant. Does it work with private channels? 

Condetiv

bitcoin

How can I get full privacy for opening lightning channels? Tried Nolooking.

I don't know what Nolooking is, though it seems to optimise opening batches of channels?

If I was opening a single channel and privacy conscience, I would prefer a private channel. That way, the channel is gossiped over the network.

This works if you only want to send and receive sats. i.e. no routing.