The issue is not more/less salt in the oceans, but fewer and less reliable sources of freshwater.

Oceans getting less salt

Rivers and lakes in Canada getting more salt

But I think they were referring to running out of reliable fresh water due to drought

I suppose that's only a short-term effect.
Long-term prognosis should be the oceans getting saltier because of the rivers carrying salt into the oceans until the equilibrium between salt being carried into the oceans and salt being sedimented at the ocean bed has been restored.
Well, in geological time frames 'short-term' can be quite a long timespan.

You're halfway there! If the oceans are getting less salty, where else's the extra water coming from?