I've heard arguments to this effect, that absolute zero is more obviously impossible when you think in terms of Thermodynamic beta - which is standard physics notation for 1/(k_B * T) and appears in many places including in statistical mechanics.[1]

That also makes it more clear that while reaching 0 (i.e. infinite Beta) is impossible, negative temperatures are possible (this occurs in processes that undergo a state inversion like in a laser / maser). [2]

[1] https://en.wikipedia.org/wiki/Thermodynamic_beta

[2] https://en.wikipedia.org/wiki/Negative_temperature