It is long established that overdoped cuprate superconductors experience a loss of superfluid density (SFD) with increasing doping, p, along with the decline in T_c. Such behavior is unconventional and suggests a depletion of the condensate by increasing pairbreaking or the growth of a second non-pairing channel. This led to a recent suggestion that the condensate arises from an incoherent charge channel which progressively gives way with overdoping to a second, coherent non-pairing channel. Contra these ideas, we report several distinct analyses of the zero-field and field-dependent electronic specific heat of several cuprates from which we find no apparent loss of SFD with overdoping. The SFD per CuO₂ plaquette is found to rise progressively with overdoping from p towards (1+p), undiminished, and much the same as the Hall number, thus implying that all available carriers contribute to the condensate. We suggest this could be the underlying intrinsic behavior for all cuprates. Our samples include (Y,Ca)Ba₂Cu₃O_7−δ, Bi₂Sr₂CaCu₂O_8+δ, La_2−xSr_xCuO₄ and Tl₂Ba₂CuO₆, with the latter being the only exception. Our results signal a possible return to a more conventional picture [1].

[1] J. L. Tallon, J. G. Storey, J. W. Loram, Jianlin Luo, C. Bernhard, I. Kokanović and J. R. Cooper, Questioning the cuprate paradigm – absence of superfluid density loss in some overdoped cuprates I, Physical Review Letters (in press)