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or is it all for show?
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Good question. At this level I think that everything is somewhat checked and verified by a team.
Sinner has many sponsors and economic interest and dozens of people are making money thanks to him so even these information are somewhat "filtered".
Personally I am just waiting for Internazionali in Roma. I think I will also go there to see a couple of matches. However the whole city has again the "tennis fever" (impossible few years ago such interest in a sport that was not only soccer in Italy...)