I have no idea as to the correct answer to your question. I am sorry if I am not qualified to answer it, but I can at least help you flesh out options.
First, you are asking if a 35K BTU burner will improve your WOK game? I guess this depends.
My first question is, “What are you using now?”
We need to know if this burner is considered an upgrade in heat or what.
Second, can you safely install such a burner in the environment you intend to cook in? I think the average gas stove top burners are around 500 BTU’s on low and up to 18,000 BTU’s for really hot burners. This was just from a quick google search, but it makes me wonder how safe it truly is for you to install such a burner in the first place.
Another quick google search suggest that professional WOK cooks can cook on WOK burners from 50,000 BTU’s at a low end, easily up to 150,000 BTU’s on a average to high temp burner. Compared to what a normal person would have in there kitchen, this is like normally trying to cook on a candle, then moving to a jet engine!
Considering the absolute raw power needed to try and even come close to true WOK BTU’s I would highly suggest an outdoor propane WOK burner setup. You may have to use it outdoors, but it will at least let you see if the difference is worth it to you. Then if it is and you want to spend the money on proper installation of a WOK burner (and the crazy ventilation that prolly comes with it) in your home….go for it!
May I suggest something fairly cheap to get you started, like this, then go from there.
https://www.amazon.com/GasOne-B-3600H-Propane-000-BTU-Brewing/dp/B07PHKT5XC?tag=yosandwich09-20
Sorry if link doesn’t post correctly, on mobile and don’t ever really post links. If the link doesn’t work I will post the full Amazon description of the product here.
GasOne Propane Burner with Cover 200, 000-BTU Brewing Burner with Adjustable Height 0-20Psi High Pressure Camp Stove
Please be aware, I am not super familiar with the above “WOK burner set” from Amazon. I am not saying I endorse it or not, it was just one suggested in an article about WOK cooking.
The above types of propane burners are common though, for where I live in the south. You cannot only use them for WOK cooking, but you can use them for any cooking! Crawfish boils, fish frying, and frying turkeys for Thanksgiving to name a few alternatives. If you do decide to fry while using this burner, please fully research and understand proper technique as you can easily cause an oil fire and burn yourself or your house down!
Hope this info helped. Have a great day!