The answer
Yes. A wallet application cannot unilaterally change which signatures a chain accepts. It may use stronger local encryption while transactions still rely on quantum-vulnerable chain signatures.
What to do next
Distinguish local key protection from the network's consensus-level transaction authorization.
NIST Post-Quantum Cryptography resources
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Trezor hardware wallet
A current-generation hardware wallet for managing keys; it does not make Bitcoin or Ethereum quantum-resistant or resolve a future protocol migration.
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