So what did you mean?
1) Will you lose this immediate deal/transaction? Probably not. Will it leave a lasting impression and have them think twice about doing business with you when others are equally available? Almost definitely.
"Almost definitively". So, you are not talking from factual experience, but from your own perception of what the client will do in the future. In my experience you are totally wrong. If you do a good job, they will not only praise you to high-heavens, but they will refer other people to you as well, and yes, they will come back for more.
2) Have you ever davened in an airport? Do you pull out tallis and tefillin in the middle of the waiting area with everyone around you, or do you walk to a less populated area/corner? Is that because you're ASHAMED? No, it's because you're balancing your religion with normalcy. There's sufficient rabbinic clout which allows shaking hands in this context to relieve that shaming of others that would go on should you not shake.
Lol, actually, I have, and I have not gone to a corner unless it would be disrupting to stand in an aisle where people are trying to walk by. If I'm in a wide aisle, I Daven right there and then. There is no question that if you want to make a Minyan in the airport, you should go to a corner, as it would most certainly disrupt.
The "shaming of others" claim doesn't sit right with me. Are you careful about not shaming others in other circumstances?