Will the "Trump will rig it" talk decrease turnout?

[Pericles]

Some of the rumors that Trump will rig the election, like that Republican state legislatures will outright overturn a Biden win, seem pretty outlandish. Certainly Republicans will use lots of dirty tricks, and in a very close election the outcome might not be fair and legitimate. However, the risk of the election being rigged for Trump is probably overrated.

The worry though is that the talk about this will suppress Democratic turnout, and indeed is supposed to. Why would the Trump campaign leak in advance their sinister plot to rig the election? Maybe they're just idiots, but maybe they are trying to discourage Democrats and get them to give up. If people think the election is going to be rigged anyway and Trump is inevitable, maybe they won't bother voting, especially since with voter suppression they might have to make quite a big effort to vote. Does this seem right? Or will it have no effect, or rile up people even more and actually increase turnout (though maybe it would just be energising people who are already voting Biden, and get diminishing returns?)?

I'm not saying that this will cost Biden the election. He is in a very good position. However, is the talk about the election being rigged and people overrating the likelihood of it going to end up being counter-productive for Democrats?