I haven't specifically followed Carrier or Price but have had it as a topic of interest over the years. I do not see the question of whether Jesus was an actual person or not, has any bearing on my lack of beliefs about deities. Even if Jesus was real, the gospels are still fabulist myths that clearly did not happen, not eyewitness accounts, not even known authors, full of internal conflicts of fact claims, events and timelines, etc. Also written long after the alleged events.

I am a mythicist but that has mostly do do with my own assessment of the NT scriptures than that of others. And if I were proven wrong, it would not present any problem for me or change my views (although, obviously, proving me wrong in this regard would be a necessary first step in convincing me that Jesus was god).