I am pretty sure it will work with thirty bees, I tried nulled themes from the same developer on wamp and they work just fine. The modifications I need will be mostly redesign and some functionalities which are missing in thirty bees by default.
The issues according google are with render blocking javascript and css, minify javascript and css. I think both are not well supported by thirty bees and ps ... And that template has many javascript and css files. Also what if I use imagemagic, could I optimize images size or google will complain about their size also?
The developer told me something about the htaccess file he have to play with for better performance ... I don't know if it has something to do with it?
I plan to buy their most expensive plan and pay a lot of money for the modifications I need, so I don't like the idea to spend my money just for the experiment :)