It's a tricky lesson to learn as Google often release posts and content which over-burdens developers with false-confidence (it's not the developer's fault). Basically, website owners and company owners often ask broad brush questions and pressure Google to respond with simple, succinct answers (like in Matt's old Webmaster videos).
Google cave into this pressure and say stuff like "yeah doing redirects for your migration is good", but in some (not all) of their published content, completely neglect to mention that some redirect types are more worthy than others within the context of certain situations.
Developers read posts written by Google and just think "ok fine that's how it is now so we just do that" and, of course - unless you make a livelihood studying all this stuff, you end up pretty far wide of the mark.
I recently answered this question by a webmaster whom had taken it for granted that, because Google 'can' crawl JS they always will (under all circumstances). He made a move in terms of technical on-site architecture and saw loss as well
Just ask the guys who know!
And yes, do the redirects, you may as well. You might still get something back from it (probably not a lot though)