Why do Thaler and Sunstein $(2008)$ consider nudge theory to be a form of$"$Libertarian Paternalism"?

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Nudges do not harm people, while allowing "choice architects" to influence peoples' lives for the better

Behavioural economists calculate that nudges can be both libertarian and paternalistic as long as the correct cognitive pressure is applied when moulding peoples' choice architecture.

Nudges preserve the "freedom to offend", making them libertarian. However, "choice architects" are often from large corporations or governments, making them paternalistic.$$

Nudges are paternalistic as they reflect paternal instincts of protecting, providing for and preserving the happiness of citizens

Nudges oppose physical interventions and are therefore libertarian. They are paternalistic due to their implementation by large corporations or governments