A screen shot of the Ancestry.co.uk blog page is shown below, and it includes a simple ancestry chart:
There is only one thing wrong with this picture - remember the adage that "the cousin of my cousin may not be my cousin!" Just because Barack Obama is my cousin doesn't not mean that all of my cousins are also his cousins - only those that share my specific lineage back to a common ancestor are his cousins.
The common definition of a "cousin" is a person with a common ancestor to the subject.
If the information in the picture is correct, then Robert Pattinson is a distant cousin of the Princes. and the Princes are a distant cousin to Vlad III Dracula. But Robert Pattinson and Vlad II Dracula are not distant cousins because no common ancestor is shown on the chart.
If Ancestry.co.uk has more specific direct evidence with primary information from original sources concerning the ancestry of Robert Pattinson and Vlad III Dracula, then they should display it for the world of genealogy to see it. Until then, they should remove the claim.
For the genealogists of the world, a better ancestral chart showing all of the generations from the "Pickerings of York" to the Princes and from Vlad's parents to King George VI should also be shown so that the degree of cousinship with the Princes can be established. Proof of all of the relationships would be nice, too.