It is accepted, but not universally, that all these refer to the same person, an Iberian "king" or "prince", who joined the Roman military ranks.
[1] Scholarly opinion is divided whether Bacurius can be identified with one of the kings named Bacurius the Great (Georgian: ბაკურ დიდი, romanized: bak'ur didi), attested in medieval Georgian annals, who might have taken refuge in territories obtained by the Eastern Roman Empire during the Roman–Persian Wars that were fought over the Caucasus.
[5][6] The name "Bakur" is the Georgian (ბაკურ) and Armenian (Բակուր) attestation of Middle Iranian Pakur.
Bacurius was a tribunus sagittariorum at the Battle of Adrianople with the Goths in 378 and then served as dux Palaestinae and comes domesticorum until 394, when he became magister militum and commanded a "barbarian" contingent in Emperor Theodosius I's (r. 379–395) campaign against the Roman usurper Eugenius and met his death, according to Zosimus, at the Battle of the Frigidus.
Rufinus, whom Bacurius visited several times on the Mount of Olives and served him as a source of Christianization of Iberia, describes the general as a pious Christian, while the rhetorician Libanius, with whom Bacurius held correspondence, evidently regards him as a pagan and praises him both as a soldier and a man of culture.