At first I thought this was a terrible idea that failed to acknowledge the subjective nature of these calls, but now that I think about it, the objective here is clear, and this solution would absolutely address it.
It seems like the aim is similar to the aim of the puck over the glass rule. On the surface, it looks like it's a rule meant to punish players purposefully putting the puck over the glass, but in reality it's just meant to discourage the play that leads to that outcome.
Similarly, here, it appears on the surface that this would be a rule designed to punish coaches for nuisance challenges, but the real goal here would be to discourage close/contentious challenges, thereby removing the problem of lengthy delays. And while some people might have an issue with a step back from the sentiment of "getting it right," this really is more in-keeping with the spirit of the challenge when it was brought in. It's meant to be about the Duchene goal, not the "did he lift his skate off the ice a millisecond before the edge of the puck crossed the blue line?" goal. And a rule such as this would ensure that the only challenges would be plays where they already know it's going to be overturned, and quickly, which is exactly the category that the Duchene goal fits into.
So, for offside challenges, I like the idea.
For goaltender interference, however, I think it would be a big mistake. It's not black and white like offside, and there have been instances where many fans think a call should obviously be overturned, but it isn't.