A new preprint (arXiv:2606.04082, submitted June 2026) uses grid-based hydrodynamics with self-consistent radiative cooling to show that massive black hole binaries can enter extended non-accreting states lasting many orbital periods when the circumbinary disk thermodynamics are evolved rather than held isothermal. The authors report that cavity-edge gas heats and piles up, throttling the streams that feed the binary and dropping accretion rates well below the large-scale supply even near the Eddington limit. This extends earlier locally isothermal findings but softens the runaway suppression. Optical and near-IR variability may still reach LSST and Roman thresholds, while X-ray and broad-line emission are suppressed, producing an X-ray-weak AGN population. The work is limited to 2D, high-Mach flows and an approximate sink prescription the authors themselves revise; no full 3D or MHD runs are presented. Related results in 3D isothermal disks (Duffell et al. 2020, ApJ) and radiative thin-disk models (Farris et al. 2015, MNRAS) already hinted at stream modulation; the new runs tie these threads to gravitational-wave forecasts by showing that electromagnetic selection will miss binaries during most of their inspiral, biasing LISA event rates and dynamical-friction timescales in galaxy centers. Preprint status means these conclusions await peer review.