See, I don't see the "reveling" but, as you note a means to an end. And, since I don't think "getting the job done" means this way is better. That's too utilitarian of view for my money.Being didactic is an important part of the Trek formula, IMHO.
But even if you disagree, you have to admit there was a big disconnect in what the episode told us versus what it showed us. It told us that the "Starfleet way" of Saru was superior to the Terran Empire inclinations of Georgiou. But it showed us that her ass-kicking was effective at getting the job done.
A better way to do it would be if Georgiou's rashness got her into tons of trouble, and then Saru, when left with no other option, turned to violence. Because that's how Trek has always shown violence in the past - something that can be done as a last resort, but not something to revel in.
Finally, I think moving past didactic formulation is important because it doesn't always work out. But, maybe I don't mind the ambiguity.