And Arnie, would you be happy with if Moyes took over from Rafa the season after Liverpool won the CL? Of course you wouldn't, and it's exactly the same here.
You can't compare the Merseyside rivalry to that of Liverpool and Chelsea over the last decade. The latter rivalry is manufactured nonsense, and smacks of Chelsea fans needing to add to their limited menu as a club of European importance.
How is Moyes taking over at Liverpool at all comparable? Genuinely, try and answer this. Moyes is a manager who's won fuck all; Benitez has won the Champions League, Uefa Cup, and La Liga twice. You're implying that to the might of Roberto Di Matteo, Benitez is but David Moyes? Benitez is a more accomplished manager than both. Simple.
So with that irrefutable logic cemented, I can only assume you're also referring to some fabled rivalry between Liverpool and Chelsea that denies any former Liverpool manager the courtesy of taking over at Stamford Bridge. This is bollocks. The only way you can compare it to the Merseyside rivalry is that one team plays in red, the other blue.
The greatest irony of all is Chelsea fans get themselves worked up over Benitez because he outsmarted them on the grand stage, and had a pop at their relatively meagre support. Firstly you'd think they'd be wise enough to recognise a good manager when he outwitted their own on multiple occasions, and secondly use this one moment to prove said person ultimately wrong by properly supporting their team.
Chelsea is a striker's cemetery. It also doesn't help that they only have 2 strikers, and one of them is absolutely terrible.
And they sold their best one for a cheap fee.