Multiple accounts under one battle.net and privacy

[Winterlea]

So the key advantage for multiple accounts under one battle.net is the shared flying and transmog. But if I add them all to my main battle.net, does this mean that anyone on my main's btag can see all my other multiboxed toons when I am logged into them? Or is there a setting where I can hide them permanently, outside of the setting offline option which I think has to be done through the battle.net client each time you login, not easy for a multiboxer. I just prefer to be anonymous while doing it.

I raid in an active high level mythic raiding guild with raiders/officers on my bnet friends list and am trying to keep my multiboxing toons on the downlow so I'm not constantly asked to "help" by guildies/officers (isn't always easy to say no to an officer without it being a problem in raid/guild). Yeah, I get I could grow a backbone, but sometimes raiders can be petty creatures if you say no (or they discover it is your overpriced mats they bought) or I'd be pissed off if I felt I couldn't say no, so prefer to be quiet about my multiboxing and prevent these issues before they happen.

[MiRai]

So the key advantage for multiple accounts under one battle.net is the shared flying and transmog. But if I add them all to my main battle.net, does this mean that anyone on my main's btag can see all my other multiboxed toons when I am logged into them?

Yes, you can see a list of the characters being played.

[Andreauk]

You could just appear offline?