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I look at frameback (and faux) to describe a razors with two-piece (spine and blade) construction period.
IMO, any razor of one-piece construction should be defined differently

I disagree. What you speak of is indeed termed a 'Rattler' .
Bob nailed it in post 2 on framebacks and faux framebacks.

Glad this came up. Even some more experienced members get it wrong at...