Hello and thank you to all of you worked to help me.
Without controversy or debate, I would like to clarify some points.
I work on this site volunteer for my wife's family at the base to help. The site was originally self-hosted, but because of the distance (300km) and the evolution of the business, site management has been entrusted to a "friend", supposedly professional, who is proved unreliable and not serious. Therefore, I take back the site management and I recovers its mistakes and technical choices (including hosting) not always wise.
I know that the blocking reasons are not as futile as a version of JQuery or using a shared hosting.
If I react this way regarding shared hosting is that the literal French translation for "Get dedicated hosting" is not an advice but an order, which made me rebel me.
I hear your comments about this type of hosting, both for the shared risk, and for the fact of not manage software changes but I will not change my opinion about the merits of a blacklist because I consider this is an easy solution that often reveals unfair and lacks responsiveness but I understand that this technical choice could be made to ensure the best possible protection to the standard end user.