I don't know Tyranobuilder, but one consideration.
"Click to Play" from itch side, mean. The player must click on the iframe to begin loading the game into the browser's memory.
If you disable that and your game is heavy, you're going to force anyone who visits your page to download a bunch of data, just for visiting it, and that's bad.
This has nothing to do with your game starting, but with the game loading in the browser.
If your game has an error, and you need to click it twice before starting, you will get the same error, because they are different things.