Hi Eugene. Its a no no I'm afraid, it wont fit as there is no room. What a lot of people do is buy extra clamps and have a selection of blades fitted, then all they have to do is pop what they want into the bottom holder and fix it to the top clamp, quite quick when you think about it. You can get a felt tip and write on the clamp what number blade is in what if that helps.
How are you getting on with your Hegner now. Have you made much and is there a particular aspect of scroll sawing that you are really keen on.
Keep the faith.