Something isn't right. The system is not supposed to go off until the pressure in one or more tires is a few psi less than the door sticker inflation number. No real tech, but I don't think many people have their TPMS go off even if they're 4 or 5 psi low. The TPMS standard mentions "25% below" as the maximum amount low before the TPMS must alert you.
How accurate is the gauge that you were using? Service station air towers were notoriously inaccurate, and I doubt that the newer machines that you have to pay to use are any better (if they're even as good). Even the gauges you buy for yourself vary a bit. I've got three, not counting the ones you read the numbers off the little stick that gets pushed out. Two of those agree within about half a psi most of the time, and the third consistently reads a couple psi higher.
Those 34 and 36 psi numbers may not apply to your tires. I think the 16" base tires may require 35 psi (MVMS document), while the OE 17" and 18" tires only need 32. Maybe somebody who has the 16"-ers or a factory service manual handy (or maybe even an owner's manual) can verify this. Point being that whatever pressure somebody else needs may not be what you need.
Norm
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08 GT Premium Black/Light Graphite, stick, un-FStock weenie-EP 626/V6/stick, Prepared just enough, sometimes
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