Does renouncing one's US citizenship have the same tax implications as renouncing one's US lawful permanent resident status (=giving up green card)?

Does renouncing one’s US citizenship have the same tax implications as renouncing one’s US lawful permanent resident status (i.e., giving up one’s green card)?

If that matters (e.g., for tax treaties):

• The US lawful permanent resident or US citizen is also a French citizen.
• The individual will keep assets both inside and outside the United States.
• The individual doesn’t know yet whether they’ll be working for a US or non-US company, and where they’ll physically be located.

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https://www.lawyers.com/legal-info/immigration/citizenship/advantages-and-disadvantages-to-u-s-citizenship.html (mirror) claims that:

Once you become a U.S. citizen, it’s difficult to ever escape your tax liability to the U.S. government, even if you voluntarily give up your citizenship. A green card holder, on the other hand, can give up his or her green card and not have to worry about filing U.S. tax returns after that.

but it does not give any details.