Many groups, including Tesla, have promoted the advantage of cars autonomously handling parking.

True: by January 2017, Tesla and several other organisations (carmakers, technology companies or commentators) had publicly promoted autonomous or self-parking as a benefit of autonomous cars, for example Tesla's Autopark and Summon features or Musk's statements about cars parking themselves. Mostly true: Tesla promoted it and at least one or two other groups did, so 'many' is a slight overstatement. Mixed: either Tesla promoted it or other groups did, but not both. Mostly false: there was only marginal or indirect promotion of autonomous parking as an advantage. False: there is no evidence that Tesla or others promoted it by that date.

Set before the research began.

1. E1 Latest Tesla Update Lets You Summon Your Car From Wherever You Are Motor Trend · 11 January 2016

   “Summon is the latest addition to the Tesla's Autopark feature, and allows owners to park and retrieve their vehicles via coded keypresses on the key fob, and eventually, says Elon, via your smartphone”

2. E2 Tesla shows off its upgraded self-driving capabilities - Engadget Engadget · 20 October 2016

   “Musk tweeted that "when you want your car to return, tap Summon on the phone. It will eventually find you even if you are on the other side of the country."”

3. E3 Big Bets and Broken Promises: A Timeline of Tesla's Self-Driving Aspirations - Consumer Reports Consumer Reports · 11 November 2021

   “which Tesla claims makes the car able to drive itself for short distances without anyone in the car in order to enter or leave a parking space or garage, like a robovalet.”

4. E4 Inglês: Interpretação – Driverless automobiles | Curso Enem Play | Guia do Estudante Guia do Estudante (reprint of The Economist article, 'Science and Technology', print edition Jun 29th 2013) · 26 February 2015

   “The Swedish system, however, lets the driver get out and use a smartphone application to instruct the vehicle to park.”

Independent reports show that before January 2017 Tesla publicly promoted its Autopark and Summon features. These let owners have the car park itself and come back to them, and Musk promoted Summon on Twitter (E1, E2, E3). A reprinted 2013 Economist article describes a Swedish system in which the driver gets out and uses a smartphone app to have the car park itself (E4). That shows at least one group besides Tesla. The evidence does not show 'many' groups promoting it, so the claim is mostly true.