Hardiness
How much cold a plant can take. Every care sheet has a code from H1a to H7: the Royal Horticultural Society scale, with the lowest temperature the plant survives in the ground.
The bar is cold tolerance: longer means hardier. On the right, an example plant.
In a pot, one step down
A plant's roots in a container experience a noticeably colder microclimate than the same plant's roots in open ground. Soil in a border is insulated by the sheer mass of earth around it; compost in a pot has only a thin wall of ceramic, plastic or terracotta between the roots and the outside air, so it chills — and freezes — much faster and more deeply.
A plant's effective hardiness drops by roughly one whole H-band when grown in a pot, and potentially more if the pot is small, thin-walled, or standing somewhere exposed to wind.
An H5 shrub in open ground might need treating as an H4 (or worse) in a container, benefiting from extra winter protection it wouldn't need in a border.
Surviving isn't thriving
A hardiness rating says what a plant survives, not what keeps it happy. The two diverge most in succulents: a care guide will say "keep above 10°C" while the same plant is rated H2, tolerant down to 1°C. Both are true — the first is the temperature at which it grows well, the second the temperature it comes through. And the rating assumes the plant is dry: the same succulent kept wet dies well above its rating. Read the number as the floor it survives on a dry root, not as the thermostat setting.