In case of good service (the target is not sales but service - hotels, airport) who will be satisfied faster: customer or client?

During my work in Hotels (Hospitality/Tourism) -3 years I got more appreciation, contacts, visit cards, positive feedback than in Advertisement Client Service (more then10 years)...Probably the Customers and Guests can appreciate you more for your time, assistance, help, problem solving, attention because you are helping them individually and its concerns them individually... In case of Client service (company)... as far from the Head Chair of company your contact person (client) is located as less "Thank you" words you will get...

customers                                   .

I would say a customer based in your definition for client 

Client - represents the interests of company he is working for

Agree with professionals<<<<<<<<<<<<<<<<<<<<<<<<<<<

Customer satisfaction ( within reasonable limits) leads to client satisfaction

both Customer and client:

1. Customer : Service exclusively for customer.

2. Client : when customer gets satisfied eventually the client too. 

client will be satisfied faster

The Client satisfaction is always a reflection of the customers' satisfication

And it's always easier to get the end-user's satisfaction1st and the client satisfaction would be a normal consequence   

costumer and client since they are just same words referred as one to be serve with.