Nope. You are badly mistaken. On and off gassing have to do with the inert gas pressure only. You even say so in your post above by your use of the term "partial". Flow of nitrogen in and out of the tissues is driven by the inert partial pressure of that gas. The quote below is from the Shearwater manual for the Perdix dive computer regarding GF99. They mention inert gas pressure.
"The gradient factor as a percentage (i.e. super-saturation percent gradient). 0% means the leading tissue super-saturation is equal to ambient pressure. Displays “On Gas” when tissue tension is ambient pressure.
Displays “On Gas” when tissue tension is less than the inspired inert gas pressure."
Just to be clear, the ambient pressure they mention above is not total pressure but is the inert partial pressure at the ambient depth. Inert gas pressure does NOT equal total gas pressure.
The following is an excerpt from Baker's paper "decolessons" where he talks about the Schreiner equation for calculating the inert tissue pressures:
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In the first case (constant depth), the solution is:
P = Po + (Pi - Po)(1 - e^-kt)
This is the "Haldane" equation or the "instantaneous" equation. This same equation can also be written as:
P = Po + (Pi - Po)(1 - e^(-ln2t/half-time)) or
P = Po + (Pi - Po)(1 - e^(-0.693t/half-time)) or
P = Po + (Pi - Po)(1 - 2^(-t/half-time))
where:
P = compartment inert gas pressure (final)
Po = initial compartment inert gas pressure
Pi = inspired compartment inert gas pressure
t = time (of exposure or interval)
k = time constant (in this case, half©time constant)
e = base of natural logarithms
ln2 = natural logarithm of 2
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Note that none of the variables above use total pressure.