IMHO the exact opposite is true. If Trump goes into a brokered convention with 35+% of the popular vote and and more elected delegates than the others and is then denied the nomination through behind the scenes maneuvering, a good percentage of his supporters will refuse to support the Republican nominee. Some will stay home on election day. Some will vote for the Democratic nominee. And some will vote for a third party candidate. Trump may even run as a third party candidate if he wins the most delegates and is then denied the nomination.
Since the past few presidential elections have been decided by a relatively small percentage, the Republicans need a large turnout. Denying Trump the nomination, that he rightfully won at the primary polls, will only help the Democrats win in November. A shift of one or two percent could decide the election.
The problem the Republicans face is an ability to compromise, even among themselves. The supporters of Bernie and Hillary will come together to support the eventual winner of the Democratic nomination. I can't say the same for the supporters of Trump, Cruz, Rubio, and Kasich. There is a far larger gap between tea party members and establishment Republicans than there is between moderate and progressive Democrats. Trump's supporters, especially, are angry at the establishment Republicans as much as they are angry at the establishment Democrats. If denied the fruits of their electoral support for Trump, it will be difficult to get them to support those who have denied their candidate the nomination. If Trump's ego is hurt by establishment Republican politicians, he will likely run as a third party candidate to destroy the Republican Party. He will not fade quietly into the background.