Ok, I'm curious as to the DPI claims. Fortunately, AmneziaWG describes how it differs from WG here: https://docs.amnezia.org/documentation/amnezia-wg/
In brief, the packet format of conventional WireGuard is retained but randomized shifts and decoy data is added, to avail the packets with the appearance of either an unknown protocol or of well-established chatty protocols (eg QUIC, SIP). That is indeed clever, and their claims seem to be narrow and accurate: for a rule-based DPI system, no general rule can be written to target a protocol that shape-shifts its headers like this.
However, it remains possible that an advanced form of statistical analysis or MiTM-based inspection can discover the likely presence of Amnezia-obfuscated WireGuard packets, even if still undecryptable. This stems from the fact that the obfuscation is still bounded to certain limits, such as adding no more than 64 Bytes to plain WireGuard init packets. That said, to do so would require some large timescales to gather statistically-meaningful data, and is not the sort of thing which a larger ISP can implement at scale. Instead, this type of vulnerability would be against particularized targets, to determine if covert communications is happening, rather than decrypting the contents of said communication.
For the sysadmins following along, the threat of data exfiltration is addressed as normal: prohibit unknown outbound ports or suspicious outbound destinations. You are filtering outbound traffic, right?