I'd say if your prepared to accept the sound quality of a cassette, and vinyl, then the differance in sound quality between wired and wireless speakers won't even show up in the sound quality "spectrum" that's considered basic top end these days. Plus usually, only the furthest speakers are wireless anyway.
If your looking for unobtrusive speakers, look at the bose set ups. Although they are wired and ideously expensive. But the quality v speakers size (1x2" in some cases) is very impressive.
Then again, integrating cassette and record players isn't going to happen without seperate connections and a mass of wires. Most likely will depend on aux outputs of your current equipment.
Most modern systems revolve around home cinema and smart tv's these days. Music being a side show as its so easy to input digital audio, but quality via surround sound such as Dolby digital is impressive. Of course there are those that rightly dislike the compression rates v quality of digital recordings but let's not forget we are talking about a range of quality that encompasses cassette recordings.
We have a range of cd's and a standalone CD player in the front room. Or had. They've sat gathering dust for the last 11 years once inported to a digital player.
Imo. Move with the times. Buy the best quality system you can that incorporates home cinema , with multi sound and viewing zones. And if your current equipment allows, aux that in to the new set up.
So to answer your question. Tbh. Yes!