Well of course they do, the electoral college was made specifically so that states with the most population aren't the ones solely determining the outcome. If you got rid of the EC, the elections would come down to California, Florida, New York, and Texas.
Which ironically, given how Florida and Texas lean, would not "kill the Republican party" as some are claiming here.
The last republican to win the popular vote was Bush in 04. It would force them to actually care about what the people need instead of just threatening everyone else
You say that it would help Republicans, but the last two times the electoral college went against the popular vote they gave the presidency to Republicans.
Five presidents have been elected despite losing the popular vote. Four of those were Republicans: Hayes, Harrison, Bush, Trump. John Quincy Adams was the first, just as the Republican party came into existence, although he wasn't a member. He joined it later.
I'm not saying it would either help them or hurt them. I think many people totally ignore that fact that if the election rules and law were changed in the United States, then campaign strategies would change too. Both the Democratic and Republican parties have enough resources and power to able to adapt.