Emulator

This issue doesn't seem to be game-specific. I first noticed it playing Twilight Princess, but another game I checked at random (Sphinx and the Cursed Mummy) shows it too.

Game Name?
The Legend of Zelda: Twilight Princess
GZ2E01
MD5: 41deff9b1fd2831f48fbfa2dd1054e4d

What's the problem? Describe what went wrong.
After selecting D3D11 backend and starting emulation, if you then stop emulation, change backend to OpenGL or Vulkan and load the game again, the image shown is the last static D3D11 image.

What steps will reproduce the problem?
I have render to main window checked, but I think the problem happens in full-screen mode too. Start emulation using D3D11 backend. (Maybe save state here.) Press Esc to stop emulation. Open graphics settings and change backend to OpenGL or Vulkan. Start game again, load state. The display shows the static old D3D11 image,

It is important to make sure the bug hasn't already been fixed. Please tell us what the latest version you've verified the bug on.
5.0-5152

Is the issue present in the latest stable version?
No, it doesn't happen with Dolphin 5.0 as far as I could tell.

If the issue isn't present in the latest stable version, which is the first broken version? (You can find the first broken version by bisecting. Windows users can use the tool https://forums.dolphin-emu.org/Thread-green-notice-development-thread-unofficial-dolphin-bisection-tool-for-finding-broken-builds and anyone who is building Dolphin on their own can use git bisect.)

I didn't completely bisect but tested with builds from the web site. No problem with 5.0-4647, problem occurs with 5.0-4657.

What are your PC specifications? (CPU, GPU, Operating System, more)
Xeon E5-1620v3, Windows 10 1703 x64. AMD FirePro W5100 with driver 17.8 beta (Driver Packaging Version 17.10.1730.1012-170804a-316850E-CrimsonReLive).