This hadith is narrated by Muhammad b. 'Amr b. Ata' with these words: I was with Ibn 'Abbas, and Ibn 'Abbas saw the Apostle of Allah ﷺ doing like this, and it is also said that the words are: He (the Holy Prophet) offered prayer;
and the word" people" is not mentioned.

وَحَدَّثَنَاهُ أَبُو كُرَيْبٍ، حَدَّثَنَا أَبُو أُسَامَةَ، عَنِ الْوَلِيدِ بْنِ كَثِيرٍ، حَدَّثَنَا مُحَمَّدُ بْنُ عَمْرِو بْنِ عَطَاءٍ، قَالَ كُنْتُ مَعَ ابْنِ عَبَّاسٍ . وَسَاقَ الْحَدِيثَ بِمَعْنَى حَدِيثِ ابْنِ حَلْحَلَةَ وَفِيهِ أَنَّ ابْنَ عَبَّاسٍ، شَهِدَ ذَلِكَ مِنَ النَّبِيِّ ﷺ . وَقَالَ صَلَّى وَلَمَ يَقُلْ بِالنَّاسِ .