No, no cats or dogs present. Children know the type of staircase from grandma (steel/wood, open, approx. 2.30m x 1.70m). The steps are, of course, endlessly smooth.
We also took some time and finally came up with the following staircase: 16 STG 18.56/25.94 Staircase width rough construction: 100cm Floor plan: 240cmx200cm
Even with 0.4m more compared to your planning, the staircase was only considered conditionally comfortable and safe here in the forum. I have walked and measured various staircases in show homes and have come to the conclusion that practically all 2x 1/4 turn staircases were less generous and still not uncomfortable. I would advise you to spend a Saturday in a show home park and walk around the stairs armed with a tape measure. This contributes significantly more to forming an opinion than the forum.