Problem is still energy storage.
There is a delay in about 4-6hrs when it's peak solar and peak consumption. And as you said with Hydro power, we used most of good locations for pumped-hydro storage. That still has about 95% of worlds "battery" capacity.
Oh, no, not at all. There's loads of places you can do pumped hydro storage. The best pumped solar storage isn't in surface lakes (though, you can use those, and for electricity storage you can make new lakes). The most efficient pumped water storage is underground, often in old mineshafts.
Take two deep shafts. Fill one with water. Put a big honkin' concrete weight on top of that water, making it a giant gravity driven piston. In times of low power generation, you let the piston drive water through a turbine (at much higher pressure than you see in typical hydroelectric dams, so higher efficiency) into the other shaft. At times of high power generation, but low demand, you use the extra to pump water back into the piston, lifting the weight back up. You can have whole arrays of these shafts without taking more than the fraction of the surface land area that surface reservoirs need.
Until batteries get at least 3× energy dense than now, not to mention cost dense, solar+wind will just be a portion of our energy needs as we can't count on it to provide "peak power".
The peak power issue is only a minor reason to diversify our energy generation methods.
Pretty much all of our power generation for decades has been through burning fossil fuels. And look at the result. Using only one generation method concentrates and maximizes the problematic aspects of that method.
And, every generation method, when used on the scale of human populations, has issues. If you generate power through a large number of methods, you don't maximize the damage of any one - you keep the different forms of damage down, hopefully to a point where the overall ecological damage is bearable.