Yeah that's one way I used to do it. There are a lot of other strings you can do to get the money, which is one really nice thing about EVO, as compared to Nova especially!
In fact, I think you can accept the mission and just leave it active - then you have the cloak on your current ship, and when you upgrade, you can abort it and then go and get it again ... so you'll have it on both ships in effect :).
It is a bit of a shame the way they made it - I mean the device has a special key assigned to its activation, but in practice the chances of using it are pretty small. It certainly isn't necessary for the mission that gives it to you - just run! I found it very helpful in the Crew of One challenge when running away from fleets of Kraits / Crescent Fighters in missions - run, cloak, uncloak, take some shots, repeat :).