Yeah wearing scrubs was traditionally meant as clothing you could easily get rid of if you got bodily fluids on yourself. They are cheap, thin material, and originally had colors meant to make it easy to identify blood if they became contaminated (although that part is not really adhered to in my experience). They are not, and never were, intended for sterility. Sterile clothing is donned and doffed within the OR or relevant treatment room. If scrubs are contaminated or used for PPE purposes they must be left at the facility and the employer is responsible for washing or disposal (by US regulations). However many people in medical facilities wear them as a uniform instead, including administrators, general caretakers, and even custodial services depending on the location. The important thing is the intent, and by most modern standards PPE which would get contaminated is worn over the scrubs.

Hell I went to the eye doctor the other day and everyone in that place was in scrubs. I dunno who would be squirting eye fluid all over them so I assume they all arrived and leave in those scrubs.