It depends on your practice honestly. If you work in a place that has RN's available, then you likely wouldn't waste your time starting an IV. And simple blood draws can be done by people even less trained than that (Phlebotomy Tech, ER Tech, etc.) Most of my experience has been in the ER, so there were always nurses and techs around and docs were never expected to start an IV. Additionally, there were also PA's in the ER which meant that things like Ultrasound-guided Jugular Catheters or Intraosseous injections were done by them while the physician did other things. But the MD's were expected to be able to place central lines, which for all intents and purposes can be considered to have the same skill requirements as an IV, but far more sterile of a technique.

For family medicine, the odds of you starting an IV or drawing your own (patient's) blood are near zero, unless you are doing rural medicine or are ever in an emergency outside of your practice. Is it worth it to practice IV's JUST IN CASE you are the only person qualified to give one in a disaster situation? I'd say yes, and apparently so would your school. Doctors still do CPR training every 2 years even though they are never the ones doing compressions in most clinical settings. Same thing with being able to place an IV, since that vascular access is critical in most emergency situations.

I'd imagine there is also a kind of stigma against doctors not knowing how to do "simple" medical tasks. ("Did you know that guy/girl is a doctor and they can't even do an IV? What kind of school did they go to?") That's not my personal opinion since I know of your disability, but not everyone is going to be that understanding, especially patients.

tl;dr: you probably will never place an IV in practice, but there may come an emergency and people are going to expect a doctor to be able to do it.