multi filar is the only way to go if you want to make your charger stronger. Multifilar with parallel windings each with their own transistor will also increase amp draw, but not at the expense of the spike. Infact it will amplify it when done correctly.
Ill tell you a little story about one of my builds. It follows JBs suggestions that bigger batteries need lower impedance/resistance coils to effectively charge them properly. My original monopole build (acrylic wheel seen on youtube, user shannrenn) was over 800 turns of 0.5mm wire trifilar. It had two power windings with their switches paralleled both triggered in unison by the trigger wire, which was a thinner gauge again, 0.4 if I remember correctly.
I was frustrated that this wheel, while being super efficient running at under 50ma, couldnt charge up my 7 amp hour batteries past 12.8 or so. I brought some 1.3 amp hours which just fit into my C20 and noticed a big difference. Now I could push them over the top. Next step was another build with thicker cables. AWG 18 x 3 @ 120ft each. BEAST. Straight away with two power windings I was able to push my 7 amp hours over 14v. @ 1 amp draw sweet spot I could get a 7 amp hour from 12.2v to 14v in about 3 hours.
I was able to run it without a load on two power windings and the neons would flash a brilliant purple white, my smaller SG would just glow orange, and usually just on one of the legs of the neon. Time to upgrade again and I wound another wire onto the bobbin for a trigger and hooked up 3 mjl21194's in parallel for the 18 AWG power windings. Even better again. And when I went to see the pretty neon show guess what? POP POP POP. Three MJL's smoked instantly from the transient spikes. It didnt help when I did it again by accident, knocking off the charging battery connection. POP POP POP. Neons were no help at all. Thats over $80 bucks worth of transistors in 2 days, a record for me

They are rated @ 250v and with 2 power wires previously connected I was unable to pop them.
Think about how this is possible. Why is it more powerful with multiple windings in parallel? Each of my power windings is 1.6 ohms. So what is the resistance when they are all paralleled?

Why has John built machines that have 50 of these wires, 49 of them paralleled? What would be the resistance of these collectively.......
Regards