No, it wouldn't. There would still be four; they would just be called W1, W2, W3, and B. The electroweak vector space doesn't change when the electroweak symmetry is broken; it has 4 basis vectors before, and 4 basis vectors after. All that changes is which basis is the most "natural" to use in describing physics at the given energy scale.

(And there would still be eight gluons as well--what I say below about those applies just as well above the electroweak symmetry breaking energy scale as below.)

> There's no corresponding thing to contain gluons to individual particles

If you mean that there is no "natural" choice of basis for the gluon vector space, that's not quite true either. The Gell-Mann matrices are a natural choice of basis for the adjoint representation of SU(3) (or, equivalently, the defining representation of the Lie Algebra of SU(3)), which is the gluon representation. Those eight matrices are what physicists typically are referring to when they refer to the eight gluons.