Yikes! Surprised to see lots admit they eyeball or otherwise don't document any analysis. In my jurisdiction, this would almost be a sure sentence to spending the rest of your days as a barista with a neat little $10k penalty for the association's legal party...er, department. That being said, I'm also not surprised given that wood is almost purely synonymous with prescriptive design and constructed by labour that makes sure you-know-that-they-know it'll work 'cause wood is strong.
Formal calculation packages are rarely requested for submittals in my jurisdiction. A formal package to me is something organized in one document with a cover sheet, TOC, or otherwise linear narrative to the design. An informal package to me is a bunch of labelled PDFs that sit in a folder and could be sent to an interested part or investigator upon request. It is good practice (and my own baseline) to keep a record of the critical bits and I typically do the informal method. For me this includes the loads used, member sizing generally done with envelope sizing, basic foundation check, lateral design showing your nails and hold-downs meet the force effect requirements. It is debatable whether designers go a step further and do the lateral drift calculation for simple residential. My experience is that most don't because it's not something that you can eyeball.
I honestly wish I didn't feel as morally compelled to meet the letter of the documented law, but I would rather stay in the legit game for another couple of decades. And, I think that is how you develop engineering judgement/intuition/eyeballs...repetition and memory.