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As it stands, these are roughly expected. The link continuing does vary browser to browser, but it's down to a question of where the cursor is -- when you insert a link and the cursor is after it, it could be considered valid for the cursor to still be in the link. This is what Firefox does, Chrome doesn't; they would both be valid interpretations.

In terms of unlinking, this is implemented as removing the entire link as this is generally the preferred approach.