An impeach inquiry gives them more leverage to request information.
The house controls the show an dmore likely the judiciary will steer the process.
There have been 60 impeachment proceedings. Less than a 3rd have led to full Impeachment. Most fail to remove anyone. There's no meaningful or lasting discourse in US history regarding failed impeachments or failed removals.
We only have to look back to Clinton to see that impeaching Clinton has led to a resurgence of the republican party with absolutely no longtime negative affects on their ability to win elections.
Most of the GOP leadership was involved in that process.