It would look exactly the same. Your images are called an "embedding" diagram (or at least, an artist's impression of one...). They visualise the curvature of spacetime near a black hole, by drawing a surface in ordinary Euclidean space $\mathbb R^3$ with the same curvature. The classic is "Flamm's paraboloid" -- you can look it up.
Now the choice to orient the funnel this way is purely aesthetics: it points 'downwards', and resembles the traditional gravitational "potential well" from Newton's gravity. But we could flip the surface upside down and its curvature would be exactly the same. That is, you could also draw a black hole as an upside-down funnel. But a white hole has the same curvature as a (same-sized) black hole. And so its embedding diagram(s) are identical.