I’d say it’s a fairly wide-scoped problem. You’d somehow need to know that the only tokens being used in conviction-voting are definitely not going to move accounts within the time limit after being used in a vote. I doubt chains would want to submit to Polkadot governance processes in order to upgrade and guarantee this and I doubt Polkadot governance would have the throughput to adequately audit all upgrades.
The only way I can imagine it working would be through SPREE.