Keep in mind that what we're talking about here isn't impeachment itself, but *impeachment inquiry*, which despite terminology is a very, very different thing.
The inquiry simply opens up additional oversight tools, allowing committees to request more information. That's all.
It's perfectly likely that the inquiry fails to prove suspicions, so it winds up and goes no farther.
The House doesn't need much to open the inquiry, only a suspicion. It's not that big a deal.