It would be as simple as something like https://www.netvyne.com/?url=%s which would create and redirect you to the comment page for that URL and a simple bookmarklet to generate that URL for the current page.
I also use Firefox so your extension isn't available anyways.
Using a bookmarklet is a much better idea since users can control where they run.
I've been experimenting with serverless for some time now and came to many of the same conclusions written about here. The biggest takeaway for me is that there are pitfalls to an overreliance on lambdas. You really need to offload as much as you can to the other serverless solutions AWS provides.
I've been using Appsync for my graphql API instead of API gateway + Lambda, and I have had a good experience with it. A lot of logic can be offloaded into mapping templates, making lambdas unnecessary in many cases. Debugging is still a bit of a pain for me, but the end result is fast, cheap, and reliable.