Now "I can take a scope and make it look like anything I want for starters." makes absolutely no sense whatsoever, just like putting four 6 volt batteries in series equals 48 volts.
At this point, the conversation to understand one has to eliminate ego, hurt feelings, "I'm smarter than you"...the list goes on.
An oscilloscope beam scans across, with adjustments for sweep time (x) and amplitude

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Industrial's battery analogy is good (forget voltage is wrong) because if you series four 6 volt batteries all + to --, then from one end to the other you have 24 volts. From center (2 batteries either side) you have 12 volts.
So now residential current. The neutral (ground) is analogous to this center batteries connection.
Incoming you have the neutral (ground) which is the power transformer center tap. The other two transformer leads you have 240 volts across, half that or 120 volts from neutral to either lead.
Oscilloscope probe takes two wires. Wire on neutral then either transformer outer lead you see the 120v(rms) sine wave. From outer leads you see 240v(rms) sine wave.
Sine wave peaks at about 170v (120vrms), 340v (240vrms).
Back to batteries example. Oscilloscope leads across all batteries you see the sweep line go up to 24v, reverse leads line goes DC own to 24v. Same with lead batteries center up to 12v one end, down to 12v other end.
A line since voltage is constant (DC).
THIS is so important understanding oscilloscope on AC. Across transformer outer leads the sine wave 240vrms. However! From center neutral to one lead a sine wave...but as THAT sine wave rises, the other lead falls. They ARE NOT in synchronization! Those two 120vrms sine waves are 180 degrees OUT OF PHASE with reference to neutral. Exactly like the battery example. From center one end it's positive 12v with respect to center. Center to OTHER end it's NEGATIVE with respect to center.
Hope I've made it clear. The YouTube guy is correct.