Is it cheaper to check if a new value is different before storing it?

CheckBeforeStore.sol

// SPDX-License-Identifier: Unlicense
pragma solidity >=0.8.0;

contract CheckBeforeStore {
    event Log(address);

    bytes32 stored;

    function setUp() public {
        stored = keccak256(abi.encode(address(this)));
    }

    function justStore(bytes32 newValue) public {
        stored = newValue;
    }

    function checkThenStore(bytes32 newValue) public {
        if (stored != newValue) {
            stored = newValue;
        }
    }

    // [PASS] testJustStoreWithSameValue() (gas: 495)
    function testJustStoreWithSameValue() external {
        justStore(stored);
    }

    // [PASS] testCheckThenStoreWithSameValue() (gas: 460)
    function testCheckThenStoreWithSameValue() external {
        checkThenStore(stored);
    }
}