Functionally the main difference between Monero and Zcash (esp. after RingCT is integrated) is that Zcash has a larger anonymity set at the level of individual transactions (all previous users) than Monero (some randomly chosen subset of previous users).
tldr, these are both serious, credible cryptographic techniques to deliver private transactions, with different advantages and disadvantages.
That insolent banned narcissist claimed the main difference is that the IP address and other markers of activity could be correlated to specific UTXO on the ring of potential payers and that this was not possible in Zcash. And he arrogantly claimed that this was some fundamental distinction. Thanks for the clarifying slogan.
He claims that you don't need to use Tor/I2P to hide your IP if you are using zerocash because the transactions are so opaque even revealing your IP does not matter. I'm sure there is a narrow way of looking at it that makes that the case, but overall, I don't agree and the Zcash developers don't agree (they are integrating Tor).
Monero works with a Tor proxy and will have I2P integrated. Dash (and Bitcoin) works with Tor.
Yeah! Everybody knows Tor is precisely 98% reliable same as the internet and precisely 98% anonymous which is much better than the internet. That TPTB tried to pull the wool over our eyes.
And everybody knows that when a payer reveals his or her identity to the recipient of the transaction, then it is still necessary to employ Tor to hide the IP address from the recipient because otherwise the recipient would know the identity of the payer.
Your logic is clearly superior to AnnoyingMint's drivel.