CTs and supervisory systems follow special rules
Any occupancy (building) on the land is subject to the National Electrical Code (or equivalent), unless it runs on rails. NEC sets out the rules for working with cables and handling supervisory circuits such as CTs and monitoring devices.
Unfortunately, certain individuals manufacture and illegally sell power monitoring system components, and encourage their improper installation. These cannot be used, and you have no recourse but to send them back and seek refund. To spot them, look for (fake) CE marks, or only component approvals such as "RU Recognized" but a notable lack of a full-system UL Listing. These violate NEC 110.2.
Proper systems are UL-approved as a system, and will have the "UL Listed" mark. They come with UL approved instructions, which specify Code compliant installation procedures. UL will not approve a product whose instructions say to violate Code, with very, very narrow exceptions. You must follow the instructions for installing the entire system: NEC 110.3(B).
Low voltage systems that interact with AC power must be entirely inside AC power rated enclosures.
Normally, low voltage systems are forbidden from interacting with AC power systems in any way, or even being in the same enclosure. (Unless there is a physical divider).
However, an exception is made for low-voltage systems where the entire system is housed inside wiring methods and enclosures proper for AC wiring.
The gold-standard way to install a power monitor with CTs is to have the entire system live inside the service panel. With nothing sticking out except a WiFi antenna wave guide.
At least one manufacturer saw this as a "gap in the marketplace" and charged in to fill it, with a hub that lived outside the panel, sent CTs into the panel, and took ethernet and wall-wart power. They got a rude awakening when UL explained the irreconcilable design flaw and how it would never be approved. They sold it anyway, underground, rather than refine it with an interior module and fiber-optic or wireless comms.
Handling multiple panels
So the way we handle this is by keeping all the hardware inside the service panel, and having no comms "through the envelope" except WiFi or fiber-optic.
Now in your case, you need to be in more than one panel. That's not inherently a problem. Remember, the low voltage system can go anywhere as long as it stays entirely within Class 1 (AC power quality) wiring methods. You can lay AC-rated conduit (or share conduit) between the panels and run your CT leads through those conduits to clamp leads in the other panels. That is fine.
Getting data out
The only ways to get data in/out of Class 1 wiring methods are wirelessly, or via fiber-optic. Fiber-optic is an exception to the rule if it is non-conductive. It's a great way to run Internet out to a shed or pool house without trenching another conduit.
All of the (approved) home power monitor products I have seen use WiFi, via an antenna waveguide that sticks out of a "knockout" on the side of the service panel.