Do any Giants prospects deserve an early extension?

Conclusion
The Giants do not have a top-of-the-line prospect who is MLB-ready and deserving of the kind of contract the Mariners just handed to Evan White.
With that being said, they may not be far off.
Bart would likely be the top candidate to land an extension before hitting the majors because of his extended experience in college, what he has done through 2019, and the lack of comparable minor league talent in San Francisco’s farm system. Barring any setbacks in 2020, the discussions could begin towards the end of the season.
Ramos may not be far behind if he proves he can post similar numbers to his top seasons when he moves up another level next season.
Given the Giants’ need for a young, long-term power-hitting option, the duo has proven to be the best available options internally.
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As for Webb and Anderson — and even the young Marco Luciano who impressed in his pro debut — they must prove they can compete at a respectable level before any contracts can be discussed.