If you have FEM seeds or cuttings, start them right in the final pot. The initial bigger pot size will encourage a more vigorous initial growth and will be the difference between having a flip ready plant at 4 weeks vs 7-8 weeks.
If you do the up pot method, it also stresses the plant and takes time to adjust to it. Could be a day or even a couple days if it's sensitive.
Imo the only reason to use 'solo cup' size is to start regular seeds so you can sex them prior to up potting so you're not wasting medium and space.
This pic, all these are 4 weeks old. Planted at the same time, from seed. Notice the 1 gal plants are nearly 3x the growth.