Well, apart from two incidents where pilot error starved their working twins (Air Canada, Air Transat), i can only recall multiple engine failures/problems with 4-holers! i.e. BA/KLM 747 volcanic ash, so more engines do not protect you more there
Not getting involved in the argument - but one of the classic discussions over 2/4 engines is that having 4 vastly increases the chances of a double failure - having lost one, you have 3 times the chance of another failing (assuming no common cause, which equally applies).
In the example given however, having 4 engines which they were trying to relight, gave them double the chance of getting one to relight over a twin.
Just saying.