I think the key is the "dual temp". I don't know what brain looks at which, but from your description it actually sounds like an internal intermittent failure.

I did have a fuel pump fail add mentioned after 10-11 months but when wife's failed and the Bosch war doa I bought another Amazon special and that one lasted until we traded in the car on the '12 E70.

__________________
2011 E70 • N55 (me)
2012 E70 • N63 (wife)