I'll just let you read the statute and regs and draw your own conclusion (hint: it does not apply solely to business property - in fact, it can even apply to a principal residence).
https://www.law.cornell.edu/uscode/text/26/1033
https://www.law.cornell.edu/cfr/text/26/1.1033(a)-1
NB: I believe you might possibly be confusing Section 1033 with Section 1031, the latter of which does require both the property relinquished and replaced to be business property or otherwise held for productive use (i.e., not personal property).
