A couple thoughts here, I wonder how successful you could really be having a replica of the Titanic then trying to sell it as a "digital detox" vacation. Particularly given that I am almost positive 99.9% of the appeal of such a ship is going to be it is a replica of Titanic; meaning, I think, people are really going to
want to bring their cameras and phones (to use as cameras) to record their experience and the ship.
The other thing that suddenly occurred to me is that with a "true" replica, you have to deal with the fact that Titanic's electrical system was not designed in a way that would make powering
any modern electronics--computers, phones, cameras, etc.--that people might bring on board an easy task.
I imagine you pretty much
have to assume that something along the Titanic II plans would need to be used. In addition to all of the things you mentioned, you would need to replace nearly all of the wooden fittings, carpeting, drapes, etc., with something non-flammable. I am guessing wood and coal burning fireplaces, heaters, and kitchen appliances would have to go too--plus most professional chefs aren't going to want to cook with
circa 1912 kitchen appliances in any case!
Here is the thing about this... we are not talking about a paddle steamer on the Ohio river here. We are talking about a 50k ton ship whose steam plant required 176 stokers/firemen, 73 coal trimmers, and 33 greasers to operate. This operation was not for an hour cruise up the river either, it was 24 hours a day. I am wondering where someone might find all those volunteers!
In addition a lot of those historic ships with the volunteers manage to get certain safety regulations waived in virtue of the historic value of keeping those vessels in as near original condition as possible. Since a Titanic replica is exactly that--a replica--I think it would be much more difficult to receive waivers based on the age and historical value of the ship itself.