As title says… I mean if it matters to have a relict tool with high basic reward bonus compared to a lower quality tool without bonus for example.
As far I can see it after a few tests, it seems completly irrelevant which tool you have equipped. Its not easy to confirm as rewards always have variance, so maybe I can get confirmation here.
Fish prices etc are too high currently, rather get as much as I can out of Stronghold farm 
. And if it does not matter which tool you have there, I rather save the durability of my best tools by swapping to garbage tool before farming.