"Puzzled. We are balanced before we step off."
Not unless you are dancing without body flight, taking each step individually. Many practice this way, but it's no way to dance foxtrot.
"The next point of balance is after the second quick of a Feather Step."
Nope - you are still moving there. Balance is present only in the sense that you can retain control if you keep moving. If you try to stop, you should face a choice between breaking body alignment and falling over. If you avoid that choice, you were dancing without body flight.
"As the LF arrives beside the RF there is a count of (and) this is a neutral position"
You must pass through this position at a speed greater than at any other point in the cycle of a foxtrot basic movement. Also note that your body must be beyond this alleged neutral position before your feet pass.
"I know a Professional Competitor who practices this solo every day."
Many distortions of actual ballroom movement can be worth practicing to improve certain other details. But hopefully this person does not actually dance that way - though if they do, they are hardly the only high placing professional making this mistake.
"Just like a Latin dancer who would do the Rumba Walks every day without fail. There is only one way to find out, and that is to find thoes balance points."
Rumba walks actually have balance points... Foxtrot walks do not, when performed the way they are during the dance.
"And then just blast your way through them with little or no thought that they are even there."
Yes, but the continuos version is different than the one at a time version - the continuous version does not have, cannot have, any balance points. If it did, it would be choppy and discontinous.