Albanian has some Illyrian influence and some stark differences as well with the Illyrian. Illyrian influence seems lexical. Similarly how English has strong French influence but it is not a Latin language.
In Antiquity Bardylis in Albanian would have sounded as Bardzylis (Barxilys in Albanian), would have been likely written as Barzylis, surelynot Bardylis..
In this instance Albanian shows more relation to Messapian, in Messapian "Barzidihi/Barzides" was attested as a surname.
They had an Illyrian elite which arrived there in 5th century BC, but they were not of Illyrian origin for the most part. Politically they were Illyrian, but various authors ascribed them existence of other peoples, as attested by archeological material, and reports of slavery among Dardanians which was ethnically based per some authors (Illyrians enslaving the locals). Also Dardanii of Troy who are the pre-Illyrian population of Dardania are an older group of people clearly unrelated to the Illyrians.