Off the top my head, 2.79 did not have pbr in the exporter. First, what happens if you export as a standard material in 2.80? Were you always using cycles nodes, or have you just changed to? What does the nodes of the material in question, look like?
@JCPalmer, in 2.79 I used Blender render, not cycles. A quick question for you: I see in Babylon 6.2.1 exporter there is PBR Transparency setting. I tried setting it to Alpha Blend, yet nothing happens, the material stays opaque. Does this feature not work and the transparency mode needs to be set programmatically?