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Stacked on #1861
Closes #1796
The cases where we actually do want to explicitly iterate over the roots are rare; it's much better to push the virtual root onto a stack and let the general tree algorithms take care of things. So, there will be a bit of breakage in user code, but I think it's worth it to move them onto better ways of doing things.
TODO - the examples need updating here and we need some changelogging