Warning: opinion ahead, feel free to ignore.
The reason I’m laying it out this way is this: if you’re planning to port an existing, running, functional Angular app to Vue simply because you’ve heard that Vue has an easier learning curve than Angular, I would suggest you at least read through the Angular Tour of Heroes and decide if you really think it’s that scary.
Porting software generally entails having at least rudimentary skills in both environments involved, so you will have to pick up some Angular in order to be able to do the port, unless you’re planning on just reverse-engineering the entire thing from interacting with it, totally ignoring the existing codebase.
So, to answer your direct question, whatever you do, yes TypeScript is going to be worth it. I would still urge you to at least consider sticking with Angular, and make a full evaluation of the pros and cons of doing so versus moving to Vue.
Of course, I guess none of that matters if you were tasked specifically to port this to Vue for some other political reason.