No. To transfer apps to another iPod this is what you have to do:
Connect your iPhone into your MAC or PC and iTunes should pop-up (if it doesn't it means you've disabled it to do so, so open it up yourself). In the top left side of the screen on your MAC, click file, then there will be a button which says 'Transfer Purchases from iPod'. It does not matter if you connect iPhone, iPod, iPhone... it will do it with anything. Also it includes all free and paid apps.
After doing this disconnect iPod and connect new iPod where just sync it; MAKE SURE that the box 'sync apps with iPod' is ticked, you can check it when you connect your iPod to iTunes, click on it and there will be a tab called 'APPS', there you will find the box.
Any other help, just email me or ask a question.
So Conclusion:
1.Connect iPod
2.Click 'Transfer Purchases from iPod/iPhone/iPad...
3.Disconnect iPod
4.Connect new iPod
5.Sync it making sure the box 'sync apps' is ticked.
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