My experince with Final Cut Pro is pretty minimal. However I think that if you use FCP 6 or higher you can capture stuff as ProRes and ProRes plays back great in Premiere. I use it everyday because the BMD hyperdeck studio that we record our studio stuff too uses it.
From what I understand though with Final Cut people capture the HDV footage and then Transcode it to either AIC or ProRes if they so chose to do so. Here is the article where I read this. Keep in mind though I'm not a final cut guy. So someone else here might be able to provide a better answer.
http://support.apple.com/kb/HT2704?viewlocale=en_US
http://documentation.apple.com/en/finalcutpro/professionalformatsandwo rkflows/index.html#chapter=2%26section=4%26tasks=true
But I'd basically just ask them to stop transoding the footage to AIC. Although it would be good to ask them if they are chosing that option just to be sure thats what is going on. But since your codec info says HDV and it won't play the AIC codec is the only option that makes since to me. Since as far as I know it's pretty much one of the only formats that PC's can't read at all. I actually got some footage from someone awhile back that was AIC and I experinced the same problems you have mentioned.
So anyways just ask them to start using ProRes instead of AIC and you won't have this issue anymore. It's somewhat silly to use AIC if they are though conisidering it loses more quality that ProRes although it's possible they are using some really old version of FCP that doesn't support anything besides AIC.
