I think you are stuck in a Windows mentality here, which is why you are having some problems conceptualizing this.
Unix machines do not require anyone to be logged in; or any human interaction at all, for that matter. They can run anything and do anything via scripting and daemons, and in fact that is how they are supposed to run for the most part. You will never need to directly log into the machine, but that doesn't mean it won't be working without you there.
From what you are describing, I don't see any problems.
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