The numbers I gave for CO2 forcing include both the direct radiative effect (~0.5 C) and the amplification from feedbacks (~1 C), which together produce ~1.5 C of expected warming for the CO2 increase we’ve seen. Natural variability is explicitly accounted for in detection and attribution studies: volcanic activity, solar cycles, ocean oscillations, and other internal fluctuations are quantified to define the baseline. That residual 1–1.5 C matches the observed ~1.2C warming since the late 19th century, meaning the human signal dominates.
The “rate doubling since 1970” refers to sea level rise accelerating from roughly 1.2 mm/year in the early 20th century to about 3.3 mm/year in recent decades, measured by tide gauges and satellites.
Comparing today to past interglacials doesn’t contradict this. Those periods had very different boundary conditions: orbital configurations, ice sheet extents, and greenhouse gas concentrations all differed. The fact that some interglacials were warmer or had higher seas does not negate the measured anthropogenic contribution today. Glaciers and ice sheets are losing mass faster than in the recent past, and the acceleration aligns with the energy imbalance from greenhouse gases. Natural variability exists, but it cannot account for the consistent, global, multi-decadal trend we observe. CO2 forcing explains the residual warming quantitatively.