This is derived from the `SingleComponentMetropolis` which seems to be a semi-established (but often wrongly called either `Metropolis` or `MetropolisWithinGibbs`). Do you object those names as well?

For `Slice` it's a similar case but people mostly just call it `Slice` and assume it's a Gibbs sampler with Slice updating. But having the same naming scheme refer to the same procedure seems sensible.

I do like your suggestions but will wait until I know whether you propose to rename `SingleComponentMetropolis` as well.