Yeah, if you've been able to distort space so long the reactionless drive is commonplace, you can probably see it working in sensors. You are starting with what is likely a misconception. At the distances involved in space, you probably can't see the drive flame of an old-style rocket until it's on top of you. You said many, many miles away. Really, it's likely just many.
Especially with no atmosphere to react with. And even at a dozen miles, you're right on top of each other as far as those distances are concerned.
That's not really that relevant to this, but I like to remind people of this when possible. The reason you don't use radar practically in space is it has a range of only a few hundred miles. Seeing a few hundred miles in space is the equivalent of closing your eyes and seeing by touch for a person.
For real practical watching, you need much greater distances and far keener perceptions than anything we currently have.
Official answer, btw, is sensors can see the drive wake, but it can be easy to miss even then if the other guy isn't actively scanning and the background noise is high. If the other guy does actively scan, he lights up brilliantly on your scanners.