My wife also found the brick on the second picture okay, I find it a bit old-fashioned.
The one in the right picture is rougher, the one in the left picture has a surface more towards ceramic – in my eyes that's a bit like comparing apples and oranges.
Our living room will be painted in lavender.
That doesn't really fit the redder brick. Also, because the Bauhaus style dominates the overall impression over the hipped roof, I would choose the smoother brick. With the rougher, redder one, it tips. That means the hipped roof slightly takes over, and the lavender paint would be a daring note to go with it. What window material is planned?
In connection with cladding, I believe that calcium silicate brick is becoming interesting again as a wall material, since it guarantees the best sound insulation and the negative insulation properties are then (partly?) compensated by the cladding.
You're worrying again about fields you'd better leave to others. I have (probably in other threads) already pointed out several times that "stone" and "installer" are practically a system that you better not combine unusually. If your builder is a red-block mason, do not force him to white walls.