Will Lithium displace a sodium salt?

This question is based on a discrepancy I have observed in my limited knowledge about the reactivity and electrochemical series.
In the reactivity series it is mentioned that Na>Li in reactivity which is understandable considering the higher ionization energy of Li. This property is shown in various situations such as the more vigorous reaction of Na with water.
On the other hand, in the electrochemical series, Li is given as a stronger reducing agent than Na.


So, my question is whether Li will displace an aqueous solution of a sodium salt, for example, sodium sulphate to form lithium sulphate(typically the outcomes of these displacement reactions are explained on the basis of the reactivity series, not the electrochemical series-at least at my level). Also, will Li displace sodium oxide?


If so, is the higher value of Na in the reactivity series just an indication of the *rate of the reaction* as opposed to the outcome of the reaction?


