You will never see band saw work on a period piece and you will rarely see perfect uniformity of construction on the underside of a period piece.
I will offer another tip a little off track to this subject.
What you are looking for is handcrafting and age compared to machine made with less age.
Makes me think "what the hell have I got that people are willing to pay that kind of money" after just seeing a rather fuzzy digi pic. Thanks Debbie Debbie had a very rare English patent "The Newton ratchet".
If the slots are not perfect in the center, you have a good shot it may be a period piece.
A Centennial piece (and later) will have machine drilled countersunk holes and screw that are slotted perfect on center. Centennial and later pieces have much rounder turnings than period pieces.
After the Centennial era, Colonial through Federal styles have had many revivals up to the present day.
Let’s start out by talking about a side-by-side comparison of a Sheraton two drawer work table.
If you are convinced you are looking at a period chest on chest, or any two-part piece, you want to make sure the two parts belong together and were not “married”.