It makes perfect sense, it's not about money but more about the prestige of the League and the guarantee of getting the UCL trophy. Kane has absolutely no interest in moving to PSG, his main priority now is Bayern Munich. Kane can fulfill his wish with Bayern Munich which he could not get while defending Tottenham, the potential to lift the UCL trophy could be the trigger for Kane move to Bayern Munich.
Kane must not pass up this good opportunity to make his dream come true, he deserves something more valuable before his career ends.
PSG at least will help Kane to win titles in France first and pay him high salary. I agree that Kane sees better chance in Bayern Munich because he will be able to win domestic titles with Bayern like in PSG with his opportunity to win Champions League with Bayern would be bigger than with PSG.
Bayern Munich still have a better general stability than PSG and their dress room is less conflicted like PSG's. Kane with his position as a captain of Tottenham and England teams will not want to stay below Mbappe in PSG. He is not a player with too high demand and ego but staying humble under Mbappe is very uncomfortable experience for Kane.