Not via HDMI (unless they have a special HDMI->HD-SDI converter box) but you can do it through analog component, yes.
The image will be about the same; HDCAM is pretty good, it will preserve most of what you recorded. It's 1440x1080 so you might lose a little tiny bit of horizontal resolution, but other than that, it should look pretty much identical. HDCAM is a superior recording format to AVCHD, so it should be able to hold on to just about everything that your already-compressed footage has recorded.
Thanks Barry. I'm wondering what the image will look like if I transfer camera to HDCAM compared to a typical workflow. For example, log and transfer of footage, edit in Prores and exporting to HDCAM tape at the end.