If Mbappe stays at PSG club, he will carry out the duties of PSG club captains, that is, the responsibility will increase on him. And PSG have announced they will rebuild the team with Mbappe leading the team. One thing we have noticed about Mbappe is that every season Mbappe performs better than the previous season. And the French star has been plagued with injuries for a very short period of time which has not affected his performances. Mbappe will be at his best for PSG next season and then the performance will be better than the performance last season.
But even though Mbappe has an important role like captain and is fully responsible on the field, of course there will always be pressure on him like when PSG loses, of course he will be the source of the problem. I think it's very good to be a pillar of the club, especially being the Ligue 1 champion every season is certain if Mbappe stays at PSG, it's just that now he must be jealous of some of his rivals who have won the Champions League title and maybe that will be one of the reasons Mbappe to leave PSG one day.
Apart from all that, of course Mbappe will try to hold back until his contract with PSG expires next season and if there are offers from other teams, of course he will start to consider them. But again his top priority is to join Real Madrid and that would definitely be Mbappe's dream.