OP, I have a 13 yr old and an 11 yr old and we have a routine as well.
We start with snacks/food, then 2 hours chilling out. then dinner at around 6:00
Then today up together and homework at 6:30
My 11 yr old gets to bed at 9, my 13 yr old at 10 (wifi off, no devices in bedroom)
We play around with it a bit on nights they have sports (so HW before dinner if it's judo at 7)
I think routines are great.
Like you, I sometimes feel a bit disconcerted by the lack of homework for my kids, and I have made a rule that on days there is no HW, or just 5 mins homework, that they spend 30-45 minutes reading a book
I used to try online tutoring programs, for DS who struggles with English.
So I get where you are coming from.
Mine also wear their uniform (minus tie) but that is because they are too lazy to change! Often they have an early shower/bath though and then wear PJs or onesie.
yanbu. Think you have been given a bit of a hard time here!