I started a topic a while back under a different product\community and didn't get much traction. So, it was recommended I open a support incident with ESRI. Based on the communications with ESRI, I decided to post this topic in this community.
After opening an incident with ESRI, they came back with the suggestion of reversing the order of the relationship class. I forgot to mention in my original post that my data is in a Parcel Fabric (sql database, edited through a feature service). When the Parcel Types are created, relationship classes are created automatically. Originally, my data shows the TaxParcels being the destination and the Records being the Origin. We deleted the relationship class and recreated the relationship for the TaxParcels and Records, this time the TaxParcels are the Origin and the Records are the destination. After recreating the relationship and performing a edit (split), the CalculatedArea field shows the update immediately. The ESRI support wasn't a Parcel fabric specialist so, I'm not sure what the ramification are of reversing the order of this relationship class since they're created automatically.
Thanks.
Here's the location of my original post:
https://community.esri.com/t5/attribute-rules-questions/arcade-expression-calculation-rule-to-update-field/td-p/1275404