We study the solar wind helium-to-hydrogen abundances ($A_mathrm{He}$) relationship to solar cycle onset. Using OMNI/Lo data, we show that $A_mathrm{He}$ increases prior to sunspot number (SSN) minima. We also identify a rapid depletion and recovery in $A_mathrm{He}$ that occurs directly prior to cycle onset. This $A_mathrm{He}$ Shutoff happens at approximately the same time across solar wind speeds ($v_mathrm{sw}$), implying that it is formed by a mechanism distinct from the one that drives $A_mathrm{He}$s solar cycle scale variation and $v_mathrm{sw}$-dependent phase offset with respect to SSN. The time between successive $A_mathrm{He}$ shutoffs is typically on the order of the corresponding solar cycle length. Using Brightpoint (BP) measurements to provide context, we infer that this shutoff is likely related to the overlap of adjacent solar cycles and the equatorial flux cancelation of the older, extended solar cycle during Solar Minima.
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