@efsk - Well, it's certainly true that one might say that there are two types of slants, those that twist/torque the blade and those that do not, just as there are two types of conventional razors, those with a bar guard and those with a comb guard. The key is to communicate, and if one wants to have three types of razors—conventional, twisted/torqued blade, and slanted/diagonal blade—that would work as well. And I do recognize that blade that is twisted (or torqued—those two words an exactly the same to me, but apparently some perceive a difference) is not the same as a blade that is not. But the 102 and Eros both slant the blade (or present the blade at a diagonal, which is again a distinction without a difference, so far as I can tell), so to me they are slants. I usually talk about slants as being of two types: those that twist the blade and those that do not. But I perceive them both as being slants.
So long as we make it clear what we are referring to, the communications goal is achieved. But I'll go with three types if you want: conventional, twisted, and slant. (I think the untwisted is closer to what is meant by "slant" (the diagonal blade) than is the twist-blade razor.
@riverrun - Yeah, it's awkward when one language has a distinction that another language ignores, but it's not unusual in my experience (e.g., words for different types of snow exist in some languages but not in others: Inuit languages are more apt to have words for different types of snow than, say, Hawaiian).
But I think we know what we're talking about, and just in case: in the poll I meant to lump together the twisted and non-twisted slants as being distinct from conventional razors.
UPDATE: After reflecting on it, I would suggest the terminology be: conventional, slant, and twisted/torqued. The non-twisted version really is simply a slanted blade, and the twisted version adds a wrinkle beyond slanting (namely, twisting the blade). So in that terminology the "true" slant is one that simply slants the blade, while the twisted razor goes beyond the simple slant.