Daniil Medvedev did not spend too many weeks as world number one and he certainly did not have a special reaction after losing it.
Nick Kyrgios is the reason why Daniil Medvedev is not world number one anymore. The Russian was the defending champion both in Montreal and the US Open and he was beaten both times by Nick Kyrgios. Due to those losses, he dropped a lot of points and with Alcaraz's US Open triumph he slid down the rankings. His reaction was neutral:
“To be honest, I didn't feel much when I lost the No. 1 spot. The ranking is the consequence of your results and if we take the American summer, for example, I did not take enough points to stay No. 1, or even No. 2 or 3."
"I heard Medvedev say that he felt the pressure of being No. 1; I haven't felt it" - says Carlos Alcaraz
“Whereas Casper, Carlos, Rafa, [Nadal] of course, with the two Grand Slams he won at the start of the year, they took a lot more points. So, it's just logical. I have no feelings about it, no reason to cry. I can only tell myself that I have to do better if I want to find this place in the future.”
He is looking forward for this part of the year because he liks playing indoors:
“It’s a very important part of the season for me. I really like playing indoors, so I only find positives in this part of the season. Indoor is very different, you always have to adapt. Paris and the ATP Finals are obviously the biggest [events]. I will play three tournaments before Paris. I have great motivation. Of course, there is no Grand Slam ahead and it's the only time in the season where you play tournaments without a Slam coming. But next year, the Australian Open will come very fast after the end of the season. So it's important to gain confidence at the end of the year."