Blogger question

I’m helping another blog convert from Blogger to WordPress. Importing the entries from Blogger into WordPress is easy, just one click.

The problem comes with Blogger blogs that are hosted on blogspot. They do not allow hot-linking to images hosted on their servers. So, while entries can be imported, the images hosted on blogspot will not be viewable in WordPress. This is not a problem if your Bloger blog is hosted on your own server, the images will appear.
Blogger allows you to change where your site is hosted, from blogspot to your own server.

Question: if you do so, do the images come too? Meaning, are they downloaded? If so, then you can import into WordPress from there and the images will appear.

Anyone know?