it’s moot because softeners take care of most or all of the sediment. That’s their whole point.
If I may-
If there is a known sediment problem, it should be filtered out (sediment filter) before introduction to the water softener. This would also include filtering iron, magnesium, H2S-sulfates and any other impurity.
A water softener is designed as an ionizer, not a filtration system. If used as a filter, the resin will foul requiring extra maintenance. Also with a softener, one has to monitor water pH as this is what will eat a water softener.
On a municipal water supply, chlorine will also fouls a softener.