Hi Vivian
Gosh quite a slope and your soil is fine so that erosion looks bad.
Compost will be better but until it settles, can wash down. My previous garden on a slope lost compost from pathways mainly, never from the beds, which ran up & down the slope.
I used to put the washings in a barrow and push them back up to the top, whenever it happened which was say twice in 5 years.
So yes you will be much better off in that sense, with no dig.
You look in control of weeds so 10cm compost beds, 2cm paths is a good start.
If it were me I would make 34in beds, 14in paths.
Best of luck, a nice job for autumn.