So my clothes weigh 2 pounds

Never thought about how much my clothes weigh, in or out of the doctor's office, ever.

In the absence of it being directly related to why you are being seen that day, doctor's only care what you weigh if it puts you in the clinically obese or underweight categories by BMI chart and then only if they happen to be looking at it specifically. They frequently won't even catch rapid unintentional weight gains or losses unless you tell them about it. Even then, there's a whole lot of shrugging that can/will go on if you are not actively ill/dying before their very eyes.

It's a ticking off of a box on a screen and not much else otherwise these days. My dogs get better annual health check up physical exams and evaluation of their vitals than I do, lol.

The only times I recall having been weighed at the doctors would have been during pregnancies.

Even then it was standard practice for them to subtract 2lbs for indoor clothing and 4lbs if you left a jacket and shoes on. That’s in the UK though and quite a few years ago now! Generally if they need to know how much I weigh they’ll just take my word for it.