WARNING NOTE:
Before you execute the following steps, you should create a backup from your entire collection. Just to be sure. 
If you're not absolutely sure what you're doing, you should also read up (for example this explanation in German) on what you could lose if you delete APE tags.
Steps:
Select your tracks where you want to remove "all other ID entries".
Right-click on them and choose Utils -> Remove Tag Types.
Choose the one that you want to delete, for example "ID3v1".
Press the Remove-Button.
Just to be clear:
The above steps will not bring back your albumart!