One can resize a text frame, and the text inside, in exactly the same way as resizing an image. You just have to lose your mindset that text frames are rigid and type is usable only in full-point sizes. 
I agree that logos should be graphics, which is why you would subsequently save as a PDF, and I too, would be more likely to use Illy than ID, but if you don't have Illustrator handy, ID can be quite powerful, especially with type, in a pinch. And live type retains its hinting and subtlies. You lose a lot by converting to outlines if you don't have to. Even in Illustrator I'd leave the type live if I could.