If the vps is not used for spam, there will be no limits in sending newletters (limits will be ever, how much emails per hour, etc) but the vps will be saturated, not the entire server...
You can have a vps using just one proccesor, 40gb of disk space and 512 of ram for example... the other resources will be free for others vps for example...
See first if you can limit how much emails are sent per hour for your friend's site... maybe you can control it to not impact the overral server...
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