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The current state of the law:
Employees who refuse to participate in an employer wellness program can be charged up to 50% more for employer-provided health insurance.
If genetic testing is part of the wellness program then employees have to voluntarily authorize the genetic test. If an employee participates in the wellness program but declines included genetic testing then they can't be penalized with the higher insurance premiums.
The new state of the law, if this bill passes:
Employees who refuse genetic testing that is part of a wellness program can be considered non-participants in the wellness program and be charged the higher insurance premiums.
The comment in the summary that the new bill would "...let employers see that genetic and other health information." is the current state of the law as it relates to wellness programs (Work wellness programs put employee privacy at risk). There is nothing in the new bill that suddenly decreases patient/employee privacy.
"Mandatory" wellness programs, themselves, were controversial and lacked privacy protections when the Democrats insisted everyone participate. They're no less controversial today as the Republicans expand those wellness programs with additional components.