The idea with OCSP-stapling is that the webserver fetches the OCSP data, caches it for TTL ~24 hours, and staples it to the HTTPS handshake. That way, the browser does not need to query the issuer's OCSP servers, avoiding both performance and privacy concerns. Revoked certificates will continue to work for up to 24 hours, but that, IMO, is within an accepted range compared to CRL that can take a lot longer.
The downside is that the HTTPS handshakes now contain a bit more data, and we want to keep this as minimal as possible.