When reducing the number of Connecter Controllers, keep the one clicked if it was not the last one of the list

Seemed like a good time to move these over.
Also remove usage of std::sto{l,ll,ul,f,d}

Small optimization.

The VSync combobox wouldn't populate if there was no Vulkan device,
which caused issues with trying to set VSync on other backends.

This also adds another layer to GetCurrentGraphicsBackend to check for
broken Vulkan and return OpenGL instead of Vulkan.

And fix a bunch of warnings

fixes: #11236

Allows some special interactions with it in the Qt frontend.

Turns out the network interface is in the Services category. Can't wait
get rid of this whole config.

Addresses yuzu-emu/yuzu/issues/11205

ReadSetting with the default is a convenience function reading
settings,  not for use in an internal environment. It tries to manage
the default value of a setting.

Fixes a potential but not reproduced issue where the custom config
is being applied to the global config.

Previously was not respecting whether the setting was default.

Fixes a bug where a restore button could be created for an unmanaged
widget.

Was producing out of order settings as a result of the switch to vectors

Without this, the Reset All Settings button would be selected by default

Fixes essentially a shadowing issue.