Bitcoin developers work on bitcoin core. Why don't they create an official bitcoin wallet as well? It will be exactly like bitcoin core, but without the blockchain. I always had that query.
Maybe I don't understand your question, but Bitcoin Core
is the official bitcoin wallet. And what do you mean by "without the blockchain"?
Are you asking why Bitcoin Core doesn't also provide a separate lite/SPV wallet? I suppose the answer is that it is unnecessary since there are plenty of others.