repwood is very common in a lot of radios I collect, mainly from the early 30's If you take sawdust and hide glue, pack it into an intricate mold and let dry it looks like a hand carving. It was usually applied and then given a coat of a dark brown lacquer toner. Its generally pretty stable.
If you were to actually do a carving like that it would require a lot of the surface to be removed in order to make it proud of the surface.
If it were the opposite, where a design is carved in below the surface it could be a wood carving. I do not beliecve it is carved.
If you were to strip it you may notice it has no grain pattern , but it does resemble wood because it is, its just made from sawdust not one piece.
of course the intricate carving may still be the work of a carver, the original material could be clay or some other substance. it is still "art" just not a one off. The same carving could then be replicated by a molding process.
similar can be done in plaster, but repwood is harder and tougher.
Repwood was a common and cheap way to make people think they were buying carving. The foolery is still working.
with radios of the era. stain was not often used, it was usually a very dark lacquer toner. You can easily remove the finish with stripper or lacquer thinner or acetone.
shellac is made by dissolving shellac flakes in alcohol, testing it in an inconspicuous spot with alcohol can prove if alcohol will dissolve it.
Lacquer can also be dissolved but its a bit more resistant to alcohol than shellac is. this is one way to differentiate between the two.
from my experience , many older antiques are shellac and most of the 1930's and 40's "production furniture " is laquer.
laquer was used in production shops as it is fast to apply , dry and send out.
shellac can be padded on applied in other ways, but if it is a high end piece like a piano it may have french polish. french polishing was a trade in itself, but basically they are padding on a mixture of alcohol and shellac , the technique is learned. spraying shellac is easier and fast.
as furniture makers went from being one off to mass production then laquer became the finish of choice. of course both may be used and both are old finishes.
most any 1930's radio or 1940's "waterfall" dresser is laquer.
one way to date antiques is from the style of the legs. the style of leggs changed over time and is often a good way to differentiate age.
I'm guessing it is 1920's 1930's era based on the repwood carving style and the legs. this is of course not accurate just a guess
I have a brunswick balke collender from the early 1900's to maybe 1915 or so . Im not seeing resemblance in the frame design which seemed to have a lot of commonalities with other BBC's of the same era.
have a really good look underneath, you may find some sort of ink stamp, look close with a good light.
on my BBC every part of it is stamped wiht a corresponding number, including the slate, also under the slate , on the topside of the frame where you can't see without removal of the late, it is head it is marked "head" - this is an ink stamp.
my table has big square legs a lot of the earlier tables have more ornately carved legs.
some of the related styles might relate to art neveau, a french inspired style, art deco ws more squares and rounded shapes, more invnventive less traditional. You may fin books that go into the intracacies of leg style and that is often a way to get an indication of age. Id say art neveau may be indicative of an earlier date while art deco or might be 30's "waterfall" was 1940's these are complete generaliations not proof. It wasnt; like a switch was thrown and every style changed instantly. you can look into the "arts and crafts movement" and "stickley furniture" and see if you see resemblances to these eras it maybe a clue. I don't think it has victorian era influences or victorian style.
I bet if you lok at enough images from magazine ads of the era youll find tables wiht the same legs, If you find that you are on to something. the "internet archives" might be helpful. old pool table mechanics might recognise it.