Kind of agree. 523 just isn't a thing, we are a 343 in possession (mostly) and we go into a 541 shape without the ball. You will hardly see us with a line of 5, then 2 and then 3.I suggest using the terms 3-4-3 and 3-5-2 as opposed to 5-2-3 and 5-3-2.
The latter two imply that the wing back is more of a defensive role. If we played an actual 5-3-2, it would be pretty hideous. We’d have almost no attacking width and isolated forwards. Assuming one of the midfielders is the 3rd man forward, Who’s the 4th? Another midfielder?
In reality, it’s a 3-5-2 and your wing backs are many times your 3rd-4th most forward player. So basically just call it a 3-5-2.
Edit to add that formation is more rigid without the ball than with it. Given how we play a lot without the ball, you could argue we are a 541 team.