If lets say they get orders from the government etc can they prevent us from being able to access or move our crypto directly or by blocking access to their software.
You would still be able to use your Ledger with
Electrum. It provides more sophisticated functions than Ledger Live.
I also read that it is possible to get access to our private key ourselves , but we would need to use another 3rd party software to do that.
Ledger generates a BIP38 compatible recovery phrase which can be restored in many popular software and hardware wallets. You will be able to restore your wallet easily.