In my tileset lava supports connected textures. However all the time lava line spawns on the ground it placed in such a way what my connected tiles are not connected. Lava should be slighttly more thick, so it will connect propper.
Here an exapmle.
not thick, original, not connected in most parts

THICC, connected

Also, Lava should set adjacent flammable buildings/furniture on fire.
Most helpful comment
Also, Lava should set adjacent flammable buildings/furniture on fire.