Correct, you need a resource pool as well. However: WARNING – if you ever move any of the linked files, over-write them with other copies or rename any of them you rll the file corruption dice. It’s when not if corruption happens. If you have a wide area network that isn’t 99.99999999% reliable each network glitch whilst any file is open also roles teh dice.
Therefore I always insert projects into a master with teh Link option deselected. This copies all data and consolidates all resource iformation (no need for a pool). It also creates a great backup snapshot. To make this process quicker I usually record a macro of me creating teh master and run that each week. Note first task of recorded macro should be create a new file!