Your dad should be obsessed with you having health insurance. It's your 2nd most important expense after housing. (It's easy to get inexpensive food and clothing). Health insurance provides you healthcare options and expands your choices in medical treatment.
Let's hope you don't need it... but young adults do. Out of my friends
- 22yo hit in a head on collision on a two lane highway. Other driver crossed the center divider; driver had no car insurance
- 24yo woke up one day feeling awful, went to the hospital, learned her kidneys shut down (very very rare) and was on a transplant list 7 days later
- 29yo noticed a bulge on his chest - ended up being cancer
Now about you paying for it: Dad may not realize the changes with pricing that has occurred with the ACA.
- your employer based plan is not free, it is subsidized. Each company had different amounts it pays for but if the company has over 50 employees, it will cost no more than 9.5% of your wages.
- you may be paying for coverage you don't need. Your company might have a Tesla plan but you need the civic.
- the cost is based on the average age of the employees. If you are 29 but the average age is 49, you are paying for coverage for someone 20 years older than you.
You are 29, your dad doesn't get to determine how you spend your money. As long as he doesn't have to support you while you look for a new job or do whatever you are going to do, it's not his choice.