The the trust falls on the shoulders of the operator of the bridge (a tool to switch networks).
Your BTC should stay there locked and you should be able to get it back but if there is no liquidity when you want to take it back?
I would use, though, the Rootstock network for such cases or Liquid (which I don’t know that close)
Rootstock or RSK is EVN compatible bitcoin native sidechain.
It has the limit of RBTC which the the peg to BTC and also usese merged mining which is basically same node is operating the both networks.
There are still some trust but still is much better than wrapped bitcoin on ETH or Solana or whatever managed blockchain.