I managed to change the brand name on paypal to a generic "umbrella" name, but on shopify, i can't seem to get the brand name tied up with the website's name.
On the other hand, if i used WP woocom, i can customize everything, name, logo, the displayed name.
I dont know where i'm going with this either. But i have a love/hate relationship with shopify. The same goes to woocom.
I don't know also, whether a customer will be alerted and be put off if they ever see a different name appearing when they're in paypal screen.
Only thing i haven't tried is the creation of a child account under paypal.