Dealing with Tracking Script Blocking and Web Data Lookups

Several recent browsers are coming with default settings of blocking tracking scripts. Safari currently being the harshest and Firefox following closely behind.

This directly impacts the ability to use the documented Eloqua processes of looking up data from contacts, accounts, and CDO's. I am referring to methods like the following https://docs.oracle.com/cloud/latest/marketingcs_gs/OMCAA/Help/EloquaAsynchronousTrackingScripts/Tasks/DataLookups.htm

Has anyone dealt with this issue and found a solution?