Question about general health checkup (個人的なご受診で一般健診)

My new job requires me to get a general health checkup. I reached out to a local clinic and they offered one for around 12,000円, and said the cost would be borne by myself (implying that my health insurance wouldn’t cover it).

Is it the case that health insurance doesn’t cover health checkups? If so, would my company bear the price?

by 2erris-human