Hi,
I have to move a lot of components in the schematic, from one sheet to another.
When I do this with the cut and paste, it will forget where it was on the PCB and if it doesn't the connected traces have a wrong net.
Is there a way to do this efficiently?
Brand new interactions and interfaces. 
Easy to use and quick to get started. 
I cannot replicate the parts moving, but, when updating the PCB after saving the edited schematic, I check the 'Also update track's net...' option at the bottom of the 'Confirm Importing changes information' dialog.
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Maybe that is what you need, it's easily missed.
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Regards.