I just tried, just to be sure, with some format (glb, gltf, babylon, textures as jpg or png), it works just fine.
So we will need more info from your model, 'cause it’s probably not a BJS issue.
Try with an empty scene and a single cube using a single material using a single texture just to be sure
And which format are you exporting from Blender? .babylon or .gltf? Anyway, you probably have to take a look in these pages:
I tried with a simple cube that i created. I used then blender to export to gltf. Then i tried various textures to be imported with it. I really cannot figure out what i am doing wrong. I checked these pages of the documentation as well. I am pretty confident that i did not miss something about this subject.