In a stained floor, any abuse that cuts through the finish and scratches the wood shows the contrast between the stain colour and the wood colour. A dark stain on light wood is particularly bad this way.
One thing you can try as an experiment:
Take a spot that is scratched but is out of the way. (May be hard to find. The out of hte way spots don't get much wear. Maybe look where the lighting is bad.)
Do the floor prep for revarnishing -- wax stripper, light sanding, 3 coats of PU varnish.
If the scratches are still visible, then refinish the floor. If they are 'good enoough, then treat the rest of the floor that way.
In the Bad Olde Days, twice a year we would strip and wax floors. Mom would put clean socks on us kids and we were encouraged to run and slide on the floor to buff it. To strip the wax was usually just a mix of sudsing ammonia and water. You wanted the windows open! Could get intense. We tried to make a point of being elsewhere, but usually at least one of us was drafted to move furniture and rollup area rugs.
The advantage of wax was that it absorbed the abuse, but was easily renewed. It also filled in hairline scratches in the varnish.
In the 60's self stripping waxes came out. They weren't nearly as hard, but you you avoided a step in the process which meant that the furniture had to be moved one less time.