Regardless of the preceding, if you are prioritising rapport over gold and deconstructed materials and crafting skill gain (whew a lot to bypass lol) then you can sell a purple every two hours for rapport gain. That’s “sell” to a regular town merchant, not “fence”.
(Given that rapport is easy to come by I’d rather an unwanted purple to be deconstructed by a needy crafter. The gain will be very significant in skill and maybe some materials too as a bonus.)