It's hard to automate performance optimization with an app, for most of it you need a human to analyze and optimize.
Here's how to optimize your site:
1) Run your site through the Shopify Analyzer to see what can and should be optimized.
2) Follow the recommendations, or check out this Shopify optimization guide I wrote: speedboostr.com/shopify-optimization.
3) Optimize accordingly, or if you prefer hiring an expert contact my team at speedboostr.com/contact.
For themes, there's usually not much variance in performance unless your theme does not have lazy loading implemented, that's a key optimization point. Here are my favorite themes and where I find them for projects: speedboostr.com/shopify-themes-and-developers
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and Thanks for your Good question.
Please share your site URL,
So I will check and provide a solution here.
Except Plak. I haven't used the other themes you mentioned, and one thing I can tell you, Plak is a great theme, super fast (they claim to be the fastest, and I do believe they are).
I had turbo theme before Plak, but with Plak my conversion rate increased.
I also use their feature called (blurry coupon) it doesn't exist in any app.
So I highly recommend Plak for you