Does Lana's statement on Iokath makes sense if you side with the Republic?

So, if the Eternal Alliance sides with Malcolm and turn against Acina on Iokath, does it make sense about what Lana said that in favor of siding with the Republic and betraying the Empire, it would show their forces that they'll be willing to betray allies and that agreements with the Alliance aren't worth it?

Outlander/Alliance Commander: "You've worked with the Empire more recently. What do you make of Acina's offer?"

Lana Beniko: "We've already allied with the Empire. If we turn against them now, what message does that send to the rest of our followers?"

Theron Shan: "It tells them we don't honor agreements with traitors. Don't forget. She trespassed on Iokath without your permission.