Backup and Disaster Recovery (BDR)—a combination of data backup and disaster-recovery solutions that works cohesively to ensure an organization's critical business functions will continue to operate despite serious incidents or disasters that might otherwise have interrupted them, or will be recovered to an operational state within a reasonably short period.

Indeed! Cybersecurity is not a commodity among service providers. One is not necessarily like unto another. Some MSPs have robust and mature cybersecurity controls while others are lackluster. It is imperitive that the client ask questions to their MSP to better understand their capabilities. Because, as you said -- they inherit the security of their service providers. 
Cloud computing has allowed managed IT services to expand beyond the regions and borders that would constrain the average break/fix IT through the adoption of Software as a Service (SaaS) technologies, as well as Infrastructure as a Service (IaaS) and Platform as a Service(PaaS) also. These capabilities allow managed IT services to scale at a rate dramatically larger and faster than in-house IT operation or break/fix providers.
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