Don't be scared about changing more than 1 variable at time. You're not publishing peer reviewed scientific research here... If you only ever change 1 thing at a time your pace of progress will be very slow. Now with that said don't try to change 10 things, if anything because it make a lot more room for error.
I think the best way to see that the low oxygen process is real is to just do the mash. Even if you don't execute the rest of the process (light boiling, yeast, spunding, etc) and lose those flavors, you will at least observe them in the mash and know what you've done has changed the wort.
As others have said... hard boil your strike water for 5 (max 10) minutes. Rapidly chill to strike temp. Add your minerals and sulfites (10-20 ppm) at about 200F, slowly underlet the mash, give it a stir, and continue as normal. You can't really skip this part of the process (unless you use the yeast method, but that's another topic). It's as simple as pre-boil, sulfites and underlet slowly. A mash cap helps but isn't strictly necessary. Take small samples of your wort through the process and taste them. The other obvious sensory different is the lack of mash aroma. If it still smells strongly you didn't get the oxygen out of the water or are introducing too much.
Changing multiple variables all at once and then assigning all of the benefits to a single attribute makes my engineering spidey senses tingle...