Yes, but for flexibility you also want a softer more flexible insulation and sheath. If the flex may get hot then you will need a heat resistant sheath eg butyl.
Arctic cable as used for portable equipment on building sites is designed to remain more flexible at low temperatures
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Rubber cable is more flexible than ordinary PVC
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(at the top right of all the TLC pages is the "part of ... range" which will lead you to other products in the range)
We discussed this quite recently in a thread "extra flexible main lead"
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