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.
by Martin Willis This editorial is about American furniture, I may write at a later time explaining how to tell the difference between Period American and English Georgian furniture of the same era.
When I speak of period furniture, I am referring to pieces that are considered traditional styles of design constructed in the Colonial through Federal era, between 1730-1810 such as Queen Anne, Chippendale, Sheraton, Hepplewhite, Duncan Phyfe and Federal furniture.
Following this era was American Empire 1815-1835 , then Victorian 1837-1901 of which machine made furniture began in 1840.
Centennial furniture was born in the traditions mentioned above debuting at the 1876 International Centennial Exposition in Philadelphia.
Now you want to look at the dovetail edge of the drawer.
The best thing I can do is show you images of both machine dovetailing (which is uniform) and hand dovetailing. On hand dovetailing, often you see the marking scores that were used to lay the dovetailing out.Side by side in a home, even after many years, I can sometimes not tell the difference until I closely examine the piece.Like most furniture, it is the underside that tells the truth.Pull a drawer from the top section and one from the lower section.Make a close examination to make sure the dovetail work matches on the two drawers.I have seen an early high chest that had poplar secondary wood with very little oxidation where the drawers had dust divider panels, so there are exceptions. Take a flashlight and look to see if the screw countersink holes appear to be made by hand with a chisel or machine drilled.