I think the right way isn't "learn a HDL", it's "learn digital electronics design". Hardware description languages enable succint hardware description, but it's still necessary to keep an image of the actual hardware in mind.
Does anyone know of any open source software for taking smallish chunks of Verilog/VHDL and making a visual representation/schematic?
There is an online version at here: http://www.clifford.at/yosys/nogit/YosysJS/snapshot/demo02.h... which uses YosysJS. Hopefully someone can port Compiler Explorer UI to this