I know it is too much to ask of people to study the issue, but here’s a simple explanation:
Warmer air holds more moisture (H2O is actually a positive GHG feedback from the smaller amount of warming from CO2, etc). This means it tends to suck up (evaporation is the technical term) water from waterways, land, plants, etc., causing drought conditions and dry brush and wood for increased wild fires. The moisture, of course, does not stay up in the atmosphere (in fact the residency of H2O is usually a few days, which means tho it is a potent GHG, it is not a “forcing” GHG as are CO2 and CH4).
Under certain weather conditions a lot of that moisture in the air can come down all at once as a deluge, either in the same place where it was sucked up and caused a drought, or in another place where the winds took it. So crazy as it may seem you can sometimes have flood conditions even during great droughts. The net effect is greater precipitation in a globally warming world – but greater in more pole-ward latitudes; while the equator-ward latitudes are experiencing greater drought conditions.
That CC may be increasing negative arctic oscillations (Rossby waves, polar vortexes) was pretty much a surprise to me some 10 years ago (and I think the science is becoming stronger on this). The explanations for it are somewhat more complicated, but as I recall one part of the explanation has to do with decreased ice in the Arctic. So, yes, you can get more colder weather … right in the middle of the growing season for winter crops in N. Mexico and for us in the RGV. Drats!!! Overall, though, the trend is warming nearly everywhere on average (it’s those killing freezes that are outliers from that average that can do great harm).
Then the issue of increased storms, like hurricanes. That requires a bit of physics to explain how heat energy can become kinetic energy (I just know that it can). So for hurricanes one necessary (but not sufficient) cause is high sea-surface temps. Then under certain weather conditions, the system can take up that heat energy and turn it into the kinetic energy of a storm.
RE where the heat is hiding, the scientists actually are concerned with the total of Earth’s energy balance or budget (see
climate.ncsu.edu/edu/k12/.eeb and
en.wikipedia.org/wiki/Earth’s_energy_budget). Global warming is causing the Earth’s system to gain more energy. Eventually it will get into balance again (at a higher level of energy), but right now it’s gaining more than it’s giving off.
So the upshot is that is doesn’t matter in that equation where the heat may be stored, whether in the deep ocean, the surface temps, the land, the lower atmosphere, only that more is coming in than going out. However, there are more accurate and longer-term measurements for some of the places where it is going, so they’ve been using the surface temps as a proxy for the total energy.
There is also a very negative impact of having the deeper oceans store the heat, and that is it could melt the methane hydrates (methane locked in molecular ice cages), some of which could be released into the atmosphere, a very potent GHG, causing even greater warming. So having it stored in the deeper oceans is not necessarily a good thing because it masks CC and renders surface warming less than it would be.
I hope this helps explain what seems to be contradictions. I think it’s a fascinating subject (if it weren’t so threatening to life on earth), but now that I’m retired I don’t study it as much as before.