Headcanon: The Elves of Doriath were quite Dwarf-like
Altenatively: the Dwarves are quite Iathrim-like
The primary source for this headcanon of mine is the similarity of certain lines in the Lay of Leithian and the Song of Durin.
King Thingol sat on guarded throne
in many-pillared halls of stone:
there beryl, pearl, and opal pale,
and metal wrought like fishes' mail,
buckler and corslet, axe and sword,
and gleaming spears were laid in hoard:
all these he had and counted small,
for dearer than all wealth in hall,
and fairer than are born to Men,
a daughter had he, LĂşthien.
A king he was on carven throne
In many-pillared halls of stone
With golden roof and silver floor,
And runes of power upon the door.
The light of sun and star and moon
In shining lamps of crystal hewn
Undimmed by cloud or shade of night
There shone for ever fair and bright.
There hammer on the anvil smote,
There chisel clove, and graver wrote;
There forged was blade, and bound was hilt;
The delver mined, the mason built.
There beryl, pearl, and opal pale,
And metal wrought like fishes' mail,
Buckler and corslet, axe and sword,
And shining spears were laid in hoard.
Of course, the non-worldbuilding answer is that Tolkien reused lines and imagery from his older, unpublished work; we all do it at some point. There was never any intention to draw a deliberate parallel between Thingol and Durin.
However, it would also make a lot of sense for there to be significant cultural exchange between the Elves of Doriath and their Dwarven neighbors.
During the Age of Stars, there would have been a lot of contact between the Sindar and the Dwarves, and they appeared to have been mostly positive. (Not counting, of course, the early encounters with the ill-fated Petty-Dwarves.) Thingol was on friendly terms with the Dwarves of Belegost and Nogrod.
Menegroth was commissioned Dwarven work. The architecture is certainly a Dwarvish influence. Most Elves preferred to live beneath the open sky, beneath Varda's beloved stars. Only the Elves of Doriath — and Nargothrond and Thranduil's halls in Mirkwood, both inspired by Menegroth — chose to live underground; even Eöl, who hated light, lived aboveground.
Doriath enjoyed frequent trade with Nogrod in the Blue Mountains and Belegost all throughout the Age of Stars and well into the First Age through the Dwarf-road. Menegroth amassed much wealth and weapons in the form of Dwarven crafts. Going by Nimphelos, it seems that Menegroth traded pearls from the Falas with Belegost. This trade persisted until at least Thingol offending the craftsmen from Nogrod.
When the Haladin of Brethil sent for aid from Doriath, Thingol sent Sindar armed with axes, the traditional weapon of the Dwarves.
Doriathrin culture and Dwarvish culture would have developed side by side.
