You're definitely an outlier. In San Francisco, tips are sought more than 10% of my trips.
I've stopped taking Uber for this reason for those "marginal" trips where I might be tempted for the convenience vs. public transit. I see tip begging no different than being asked for change on subway, and if I have to potentially deal with it either way I'll just take the cheaper option.
I had a guy who implied that he'd like a positive rating. Only one out of many.
I realize that EB and SF drivers probably stick to their preferred areas. I'm not disputing your experience, only adding my own.