The photo in the original post actually shows the Metro sign upside down.
BTW, right click and 'rotate right' (or clockwise) before uploading!
On the other side there is an Arriva service 29 timetable, the nextbus.mobi text code, qr code and NFC tag and a bit of graffiti. It's not far down from my street.
Can you give a maplink to its location?
In a lot of places, shelters are provided and maintained by the likes of Adshel (other bus shelter providers are available)
It is by no means unknown for shelters to be repaired (especially if it's a quick repair, e.g. following an accident / vandalism) with bits of the wrong council / PTE's shelters, which can manifest itself in an odd bit of a shelter being in the wrong corporate colour, or a timetable for somewhere miles away being left showing.
I'd be more inclined to expect an explanation along these lines than entire shelters being transplanted. (Although if the entire shelter is in METRO's corporate colours not Derby's then the latter is possible)
For many years, a manager at First North Western was the butt of jokes over Earlestown.
He ordered a West Yorkshire-shape 'M', in Merseytravel colours. Apparently the sign makers twice questioned the design, but the FNW manager was adamant he wanted it made.
Once when heading towards Merseyside by road I remember seeing a Cheshire CC bus stop on one side of the road and a Merseytravel bus stop directly opposite it. I can't remember exactly where that was though.