Sure

sizzle is the name of the breed. frizzled and smooth are just indicators of the bird having frizzled or smooth feathers.
just like if you had a polish chicken it could be either a frizzled polish or a smooth polish. i guess to be completely accurate i would also say bantam frizzled sizzle.
but since all silkies and sizzles are bantam it seems redundant. well at least till someone starts a full size sizzle project
i've heard lots of discussion as to why we don't call smooth sizzle, just simply sizzles. because they would be the standard for the breed. and frizzles would be the addition of frizzled gene. just like we don't call cochin, smooth cochin.
but i think since izzle is right there in the name, we tend to just do the opposite. and just say sizzle in place of saying frizzled sizzle, and only qualify smooths with saying smooth sizzles. i think it comes down to preference. i know when someone talks about what they should breed their sizzle to, the first question that pops to mind is do you have have a frizzled sizzle or a smooth sizzle? i think its a very important part of describing exactly what kind of bird your talking about.