For example, if you are making a yeast starter, do you sanitize the measuring spoon that touches the nutrient or sugar added to the starter?
Mostly.
My measuring spoons and cups are stainless steel or glass. They are cleaned and dried upright after rinsing with hot tap water, and dry in a matter of an hour or so. If they have been used in the previous day or two, I may not sanitize unless I'm doing other items.
Items made of other materials, especially primary and secondary containers that spend weeks or months between usage? This is a totally different situation. I treat with K-meta solution prior to usage. Why the difference?
Plastic doesn't dry as fast as steel or glass, so it may take days to fully dry. Additionally, plastics get scratched and supposedly "stuff" can grow in the scratches, so sanitizing makes sense.
ALL items get cleaned immediately after a session. I leave nothing dirty, and if I see anything odd, an item gets cleaned again. Nothing gets put away if it's still wet. From reading numerous sources (not all wine-related), it appears that proper cleaning and drying is 90% of sanitizing. Use of a sanitizing agent (e.g., K-meta solution or Star San) prior to usage is an extra measure to ensure sanitization.
Keep in mind that "sanitizing" in winemaking means reducing the amount of microorganisms to below a threshold where they do not pose a threat to the wine. We are not sterilizing, as in removing 100% of all microorganisms. For home winemakers, sterilization is not feasible, nor is it necessary.
As David (
@Rice_Guy) often says, wine is a preservation system. The relatively high ABV and acid, and low pH is a hostile environment for most adverse microorganisms, so once fermentation surpasses 5% ABV (IIRC), the danger of most microorganisms is greatly reduced.
Note that risk tolerance is individual. Everyone should do what they consider correct.