Other than it increasing the viscosity (not much if you're only using 2 pints), I don't see a problem with it. I'd do it if it was all I had on hand at the time.
But then, I use Wing sized tires, mix bias and radial tires, rarely wash my bike, run synthetic truck oil, cut off my rear fender, performed a bafflectomy, and a host of other things that some people tell you should never be done.

In the early days of synthetics, there was (supposedly) a problem with mixing synth and dino oils. But that time has long since passed.