Couldn’t find much about privacy at that link, but in other research…
Verge shields IP addresses and data by integrating Tor in the wallet and the receiving party’s address using Dual-Key Stealth Addressing. They are supposed to add optional RingCT transactions which would also hide the amounts and send/receive addresses, but as of late 2018, this has not yet been implemented. In fact, at one reading, even Stealth Addresses were not yet implemented.
Verge does not mask amounts and does a pretty crappy job of sheilding transactions once they are on the blockchain, allowing several methods of blockchain analysis.
If Alice sends 15 XVG to Bob, and Alice’s and Bob’s ‘Master Public Keys’ are publicly known, an attacker could link Bob and Alice together by using malicious Tor nodes, waiting for a transaction to a KYC/AML exchange (which would lose all anonymity), or by using most other blockchain analyses, such as timing.