I came across it a little while a go whilst I was searching for a new Piper methysticum plant myself.
'Bright Eyes' definitely doesn't look like Piper methysticum to me, although I'm no expert. I'd still say I'm 99% sure it's not from comparing it to photos of actual Piper methysticum plants, and from memory of my old Piper methysticum 'ISA' plant. I found very little information about it online too, and the few other comments on it I came across also believed it to be a different species of Piper.
I agree it appears much more similar to Piper betle, in both its morphology and growth habit.
There's a lot of different Piper species so it would be very difficult to try and fully ID it, I certainly wouldn't be able to. However I have seen someone else call it Piper betle aff. 'Bright Eyes', which I also think is the best fitting name for it currently.