Everyone will agree that Mbappe is always rumored to be with Madrid but however as long as everything is still not clear then in the end things like this become a wild speculation that will definitely continue to blow and more and more because of the traffic and headlines that are always sought after including for some of the news circulating now no matter true or false but every day there is a lot of the same news where Mbappe and Madrid are always a hot topic.
But we also can't do anything at this point because for the news now everything is also still based on rumors even though there is a strong possibility that it will happen but as long as there is no truly valid source or maybe there is still no confirmation from Madrid, PSG and Mbappe then everything will be hanging including the news you linked to today where even though there is indeed a clarity about the time when Mbappe will be introduced after the European Championship but there is a word "rumored/reportedly" which means everything is still uncertain because in the end there is still no further confirmation and everything is still hanging.
We still have to wait even if we want news that Madrid is the next club for Mbappe but until there is further confirmation this will remain a rumor with a lot of speculation in it.
Speculation regarding Mbappe move will become clear when the season ends and the transfer window opens again, for now I agree with what you said. As long as there is no official confirmation from PSG-Madrid-Mbappe, it is still considered a rumor. Personally, I am very curious about how this transfer saga will be resolved in the future, after the long, drawn-out wait.
Luis Enrique will look for a player if Mbappe leaves, several names are also rumored to be targets for PSG in the future, such as Osimhen. For now, Enrique has to think about how PSG can progress further in the Champions League, while Mbappe is still with them at the club. For Ligue 1 itself, I feel PSG will remain stable and will continue to be the rulers even if Mbappe leaves later.
The top club with the most potential to recruit Mabppe is Madrid, Perez will return to continue build the Galacticos in the latest volume. On the other hand, maybe in the future PSG will change their wasteful transfer style, they will not build an expensive squad surrounded by star players, because that does not guarantee that they can get the UCL trophy easily.