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Transiting giant planets provide a natural opportunity to examine stellarobliquities, which offer clues about the origin and dynamical histories ofclose-in planets. Hot Jupiters orbiting Sun-like stars show a tendency forobliquity alignment, which suggests that obliquities are rarely excited or thattidal realignment is common. However, the stellar obliquity distribution isless clear for giant planets at wider separations where realignment mechanismsare not expected to operate. In this work, we uniformly derive line-of-sightinclinations for 47 cool stars ($T_\mathrm{eff}$ $<$ 6200 K) harboringtransiting hot and warm giant planets by combining rotation periods, stellarradii, and $v \sin i$ measurements. Among the systems that show signs ofspin-orbit misalignment in our sample, three are identified as being misalignedhere for the first time. Of particular interest are Kepler-1654, one of thelongest-period (1047 d; 2.0 AU) giant planets in a misaligned system, andKepler-30, a multi-planet misaligned system. By comparing the reconstructedunderlying inclination distributions, we find that the inferred minimummisalignment distributions of hot Jupiters spanning $a/R_{*}$ = 3-20 ($\approx$0.01-0.1 AU) and warm Jupiters spanning $a/R_{*}$ = 20-400 ($\approx$ 0.1-1.9AU) are in good agreement. With 90$\%$ confidence, at least 24$^{+9}_{-7}\%$ ofwarm Jupiters and 14$^{+7}_{-5}\%$ of hot Jupiters around cool stars aremisaligned by at least 10$^\circ$. Most stars harboring warm Jupiters aretherefore consistent with spin-orbit alignment. The similarity of hot and warmJupiter misalignment rates suggests that either the occasional misalignmentsare primordial and originate in misaligned disks, or the same underlyingprocesses that create misaligned hot Jupiters also lead to misaligned warmJupiters.

Signs of Similar Stellar Obliquity Distributions for Hot and Warm Jupiters Orbiting Cool Stars