Centralised stablecoins are claims on an issuer and can be frozen at a single address, on the chain, at any time. Reading the exposure requires reading the issuer, the chain, and the address history, and reading a balance in isolation misses the field that most often moves.
A family office whose treasury has begun to hold working balances in a major dollar-referenced stablecoin, or whose next-generation members hold such balances directly, is not primarily exposed to price. It is exposed to the issuer's ability and willingness to freeze a given address at the request of law enforcement or a regulator, to the chain's operational stability, and to the history of the address the balance sits at.
The mechanics are documented in the issuer's own terms of service and in the public record of previous freezes. Each major issuer maintains a compliance function with a defined process for imposing freezes, and each has a public track record of the volume and pattern of freezes it has imposed. Chain-level risk is separate and is read through protocol governance and validator concentration. Address-level risk is read through the on-chain history the address carries with it.
Read the three fields, issuer, chain, and address, before reading the balance, and move balances between addresses on a discipline consistent with the issuer's own freeze pattern.