They’re not lifestyle to me as they have more wires than normal speakers!!
4 wires for a complete system? Two power cables, one speaker interlink, and one HDMI cable. So the wire count is a bit high for an all-in-one, but still much fewer headaches. I'd still call it a lifestyle product, as many still throw the word 'obsolescence' at it, which gives me a big smile.
As opposed to the Audiolab 9000A amp, whose internal DAC cannot quite get the best out of the matching 9000CDT, well according to The AudiophileMan Paul Rigby? One can argue that any component using ubiquitous ESS dac chips are also lifestyle products.
I would call the Chord Mojo 2 more of a hifi product than some other DACS simply because Chord cares. They're doing their own DAC stuff, ditto Linn.
Until the rise and proliferation of CD players, many integrated amps had above average built-in phono amps to make the most out of turntables. Nowadays with streaming many amps throw in a DAC just for convenience.
So the lines are actually blurred IMHO. There's actually too much half-assery in hifi today.