Method 1: Install the latest CRX version
Advantages: You get the latest version of the extension, with the latest security updates and new features.
Disadvantages: You have to repeat the process for each extension and each browser.
Method 2: Sync CRX, install an outdated version, and update
Problem: This method is effectively a waste of time and money.
Why? If you sync the CRX, you'll already have the latest version of the extension on your new profile.
Installing an outdated version: This doesn't make sense because you'll then have to update the extension, which will put you back at square one.
Waste of time: You'll spend time installing an outdated version and then updating it, instead of simply installing the latest version.
Waste of money: If you use a cloud service to sync the CRX, you're paying to store unnecessary data (the outdated CRX versions). Recommendation 3
Method 1: Go to Brave Browser, copy the CRX URL, and paste it into Edge or Opera to install the latest version.
Synchronization: If you want to sync extensions, use the browsers' built-in sync features (like Brave Browser's extension sync).
Save time and money: Avoid Method 2, as it is inefficient and expensive.
Conclusion
Method 1 is the most efficient and simplest. Feel free to use it to install the latest versions of extensions on your browsers.