= Solution
At room temperature, the same hard-core exclusion remains temperature independent. If the spring remains stiff, \b[the conformational distribution remains broadly similar to the low-temperature expanded-coil distribution]. Finite bond-length fluctuations increase with $\sqrt{k_BT/k}$ and can slightly enlarge the length scale and distribution width. The radial bond measure also favours lengths slightly above the harmonic minimum.
The comparison depends on the dimensionless stiffness $k\sigma^2/(k_BT)$, not on the word “room” alone. There is no attractive energy in this model to produce a low-temperature globule and high-temperature coil transition. Monte Carlo decorrelation speed can change with temperature and proposal scale, but the premise already stipulates adequate equilibrium sampling in both cases.
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