I guess it boils down to what exact issue you're trying to address with such a blockchain.
Considering a public blockchain as a datastore for personal data - my answer would be: probably not.
When using dApps, as of now, you use them within your regular browser. So, you have the old-school bare network traffic (hopefully encrypted) which can be taped/intercepted and you have the old-school root-certificate issue (why should one trust a root-CA that's been deployed with your browser?), that fraudulent actors potentially can spoof SSL-Certificates.
And, if a dApp "acts" like Tor you're running it on top of your old potentially insecure browser environment.
But yeah, again: depends on the actual use case I guess.