You should not give away a part of your prayer to Satan by thinking that it is necessary to depart (after finishing the prayer) from one's right side only; I have seen the Prophet ﷺ often leave from the left side.
عَبْدُ اللَّهِ لاَ يَجْعَلْ أَحَدُكُمْ لِلشَّيْطَانِ شَيْئًا مِنْ صَلاَتِهِ يَرَى أَنَّ حَقًّا عَلَيْهِ أَنْ لاَ يَنْصَرِفَ إِلاَّ عَنْ يَمِينِهِ لَقَدْ رَأَيْتُ النَّبِيَّ ﷺ كَثِيرًا يَنْصَرِفُ عَنْ يَسَارِهِ