They perform different roles, so they're not directly comparable.
Jina V3 is an embedding model, so it's a base model, further fine-tuned specifically for embedding-ish tasks (retrieval, similarity...). This is what we call "downstream" models/applications.
ModernBERT is a base model & architecture. It's not supposed to be out of the box, but fine-tuned for other use-cases, serving as their backbone. In theory (and, given early signal, most likely in practice too), it'll make for really good downstream embeddings once people build on top of it!
Jina V3 is an embedding model, so it's a base model, further fine-tuned specifically for embedding-ish tasks (retrieval, similarity...). This is what we call "downstream" models/applications.
ModernBERT is a base model & architecture. It's not supposed to be out of the box, but fine-tuned for other use-cases, serving as their backbone. In theory (and, given early signal, most likely in practice too), it'll make for really good downstream embeddings once people build on top of it!