So any bi- or multi-arch configurations are then by definition both a
    cross and a regular compiler at the same time?  

Right, depending on the command line.

    Or how do they fit in your scheme?  

You bootstrap the native one and not the cross ones.  ;-)

    I never tried to "bootstrap" on x86_64 using --host=i686 --target=i686
    to build a 32bit compiler building 32bit 

Well, that's my point.  It's not really a bootstrap.  First you use the
cross-compiler to build a native compiler and *then* you bootstrap.

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