If this is the "culture" of the unit you're working on, it's unlkely to change overnight.
This is definately a unit-specific thing and varies greatly. With some experience you'll be better able to weigh it along with other pros and cons.
Where I am, nearly all the docs will get their own supplies and just ask for the things locked in a cabinet which they don't have a key to get into. In another ER I worked in, there was a chart taped inside the cabinet with sterile gloves indicating the size worn by each MD & NP ... so there ya go.