I use a Running Power meter for my run training (Stryd) & I know that I can use it on Zwift running bit it would be great if the Power was also displayed on the screen rather than just pace.
I really hope this well come.
I’ve seen countless requests and begging for this. My workouts and training is all based on run power. I’d like, for hopefully someone at Zwift to finally notice runners on their platform, to do something about this. If I could have seamless integration from Training Peaks to Zwift for both cycling and running, it would be the perfect system. It’s not. Zwift Run is still an infant and it’s been years. Here’s to hoping.
It’s been 84 years….
We do keep asking for running improvements, hopefully it will come 
As a paid up cyclist and runner on Zwift I find the Zwift “run” experience to be very dull. So, when I wish to run, I use my Stryd as a power meter and join “ride” activities instead. My Stryd power is comparable with the bike relative to heart rate, so I am not cheating or deceiving anyone - I wouldn’t use Stryd to race in any case.
For a general run for fun or a specific zone I just pick an appropriate ride. It is more engaging in my opinion to be chasing draft or pushing harder when the cyclists reach an incline. I see no reason why a cycling workout would not work equally well if you want a more controlled target.