I can see one obvious correction. Most of the lawsuits did NOT allege fraud (Giuliani said as much in one case). They might mention the accusations of fraud but it wasn’t formally alleged. Most lawsuits were attempts to throw out votes on the grounds that the (local) election rules were defective (often on grounds which involved a new and dubious interpretation of the Constitution). But only where Biden got a majority.
The court’s attitude was in general that such complaints should be made before the election. (The “Doctrine of Laches”).
The cases were a pretty obvious attempt to steal the election.