Of course not, they look partisan, they know that it will give Republicans control of witnesses called, etc., and they understand that it will only hurt them in the long run as the Rs keep their incumbents locked in sessions listening to witness after witness that they don't want to hear from...
Anyway, if they ever vote on this I will be amazed. Nancy will put it off until next year and then quietly state that we are in "election season" and they will "let the voters decide".
Possible, they could decide that they will wait for the legalities over the subpoenas to reach the SCOTUS and then go with the Mitch rule, keeping it a work in progress
More likely they will impeach, the Senate will dispose of it quickly, the Democrats will label the trial as a whitewash just as the Republicans are doing now, and Trump will boast he was vindicated, which FOX will endorse and echo
But what will remain are the facts revealed, that Trump sought to leverage Ukraine's need for aid against him attaining a personal "favor," that he asked a foreign entity to get involved in our elections, that he orchestrated a campaign to obtain his goals, etc., all issues the Democrats could use in 2020 to cement an image of Trump as unethical, dishonest, and untrustworthy