I'm not sure the answer posted here is correct. Maybe they stopped phrasing it as premium pass through to clarify the issue. The contributions by your health insurance company aren't from your employer, rather a third party on your behalf. The HSA contributions deducted from your pay stub are subtracted from your income. The $100-$150/mo from the insurance company are from a third party on your behalf. As such from From 8889 IRS instructions:
"Include on line 2 only those amounts you, or others on your behalf, ...."
