Adding an EIN to stealth account

I have applied for an EIN as a Sole Prop...I want to use this EIN with a current paypal business account that I have made...All the information is the same..Business name, address... The only difference is the paypal account is under a stealth name not of my own...

Will this be a problem? I thought aslong as the business names match then the real names dont need to match..I wanted to make sure before entering the number in.