Since the House Republicans wisely reversed course on the vote to strip the Ethics Office, the earlier vote is unlikely to hurt them in the next elections. Nevertheless, the initial vote is a sign of the hubris that is likely to come with one'party control of all three branches. That hubris, unless it is kept in check, will hurt them in the next elections.
No, the vote to hobble the Independent Ethics Office will not likely cost Republicans in the next election. Unfortunately, voters tend to have a very short-term memory and will not consider this action in their decision-making two years from now. Also, with not ethics oversight, Republicans will free themselves up to be less transparent and therefore less accountable to the American people.
The Republicans are foolish to provide Democrats with such election fodder, especially since the ethics office probably receives more complaints against Democrats than Republicans. The office, if it is truly independent, must be left to function as an independent watch dog, but it will be far removed in the minds of voters by the time the next election rolls around, so it should have little political impact at election time.
House Republicans vote to hobble the Independent Ethics Office will not cost them in the the next general elections. Though the move is unpopular with many people including the president-elect Donald Trump, it may have little effect come the next general election. The have claimed ethics office has done little with initial powers.