Kind of. Essentially ‘Iberia’ is a name Greeks used generally, which then got translated and inherited repeatedly by Romans and such. Similar to barbarians being the Berbers of North Africa and also the Germanic tribes.

So that ‘Iberia’ is a placename for a culture that became the Georgians. (Which is also an exonym. I think it’s called ‘Kartli’ by the people actually living there.) I don’t know if or why ‘Iberia’ would still be used.