It does solve it. Unless you know my private key, you can't fake the DNSSEC signatures. The linking DS records in the TLD are presumably out of your control and in future can be audited through something like Certificate Transparency logs.
So even if you fully control the network path, you will somehow have to get access to my private key material.
So even if you fully control the network path, you will somehow have to get access to my private key material.