I don't think a brand new domain name with no backlinks whatsoever will help boost your SERPs. Like you pointed out, it may help get people who type in wrong url to find your site.
If I was to use the same tactics, I will install a blog on the new domain, add a few posts, add a few backlinks, allow it to age a bit and then use 301 redirect to forward it to your own site. You will get SERP boost that way.



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