If by basified solvent, you mean the basified bark/water mix.....
Yes the alkaloids will stay in the nps if you heat it up, but if you've left it for a while, you may be better off mixing it again. There will usually be some crystals in the middle of the two layers, if you mix it up again, these crystals may migrate into the nps. But if they don't, don't try to salvage these crystals because they are imbedded in a layer of oils/fats and this will contaminate your pulls.