Claiming into wallet:
If you claim rewards into your wallet, the claimed STRNGR are moved into your wallet upon completion of the transaction. The node rewards in the app are reset at after a Claim or Claim All transaction is completed for that node.
Claiming into StrongPool:
If you claim rewards into the Stronger Pool, those newly claimed rewards in STRNGR are put into that mining pool. That Stronger Pool will then allow you to earn additional rewards for the STRNGR that you mined into the Stronger Pool.
Note that mined tokens cannot be used to create a new node.