It wouldn't be any different than what we find at the SWIFT J1756.9-2508 system, where a pulsar has accreted enough matter from a white dwarf to make the star a 7 Jupiter-mass object.
The object is still considered a star. It seems that what is, and what is not, a planet is considered to be related to how the object formed. The white dwarf at SWIFT J1756.9-2508 and the brown dwarfs at these CV systems may have both been stars, and as such, will probably continue to be considered as such.
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Caps Lock: Cruise control for 'Cool'!