It all depends on the people. Like if I have an overall plan for what I'm making, someone coming in and trying to fill in the blanks themselves to help might just frustrate me because it's either not in the plan or requires modifications to the plan.

Like with chopping, for some things the style doesn't matter but for others, it's important and I wouldn't be happy if someone chopped the carrots instead of shaving them or something like that.

Or for putting a pot of water on to boil, I like to do all prep first before the cooking because I found that the quality improves a lot if I can put my full attention on the timing rather than juggling finishing prep and cooking at the same time (not to mention things that need to be stirred to avoid burning and the like). Putting a pot on early will end up rushing me.

I don't get bent out of shape from any of this, but whether you should ask where to help or just jump in where you think it's needed depends on the person.

Edit: lol just noticed that you had a similar exchange with someone who posted a comment more along my mindset lower down in these same comments.