I don't think the relevant distinction here is "real life v. online." The distinction is is written communication v. oral communication. I would expect with high confidence that a Skype discussion would more resemble talking face to face, and that actual old-fashioned letter correspondence would more resemble discussion online. The big difference to me, is having the time to research and synthesize relevant evidence before responding; this tends to disrupt the flow of oral communication.
I suspect the persuasiveness in oral communication is related to our susceptibility to favorable impressions of people who mimic our tone, posture, etc.
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Don't think like this. You are an expert at quantum computing. 99% of the population doesn't know what quantum computing IS. You are probably 3-4 sigmas above the mean, which basically qualifies you to do anything. If you don't think of yourself as particularly smart, it is probably just because you are in contact with people who are 5-6 sigmas above the mean.
This definitely needs to be stressed. I went through the same path as the OP: got my PhD in Theoretical Physics, then moved to quantitative finance. I definitely wasn't stunningly above average in my old filed, but now, modesty aside, I am significantly smarter than the people I do consulting work for. And still, quantitative finance attracts people who in general are above the average population. There is probably a bit of availability/selection bias going on here, so be careful to correct for it.
Now, to the OP. As for the original question, its quite possible that in the quant field you could already be hired without having specific financial kowledge. People have learned to know that former physicists are of high value, and are willing to invest some time teach you what you need to know. I honestly wouldn't suggest that you spend time into building some specific knowledge, as it may very well be unnecessary. If you have some spare time, you might want to learn some advanced statistics, even though simpling refreshing what you learned in college should be sufficient.
If you want some more specific advice, feel free to pm me. You say you aren't American, if you are Eurpean and would like to find a job here, I might be of some help.