This particular brand of Hellenism, pertaining to modern rather than ancient Greece, has come to be called philhellenism.
From the en.wikipedia.org
Enough with the phoney philhellenism.
From the economist.com
He used his relationship with his Greek favorite Antinous to underline his philhellenism and led to the creation of one of the most popular cults of ancient times.
From the en.wikipedia.org
Where his ancestors pursued philhellenism as a means of attaining respectability and prestige among the Hellenistic kingdoms, Mithridates VI made use of Hellenism as a political tool.
From the en.wikipedia.org
More examples
Admiration for Greece and the Greeks and Greek customs
(philhellenic) characterized by a love of Greece and Grecian things; "the Philhellenic Society"
Philhellenism ("the love of Greek culture") was an intellectual fashion prominent at the turn of the 19th century, that led Europeans like Lord Byron or Charles Nicolas Fabvier to advocate for Greek independence from the Ottoman Empire. ...