If his career had started 10 or 15 years later he'd have been a SABR darling, a regular all star and probably gains multiple MVP 10 finishes. His numbers between 1998 and 2004 are very impressive, and even as he declined he was a solid performer.
To put his career with the Phillies into contacts since 1980 (40.37 seasons) there have been 19 players who have gotten rWAR of 5.0 or higher for the Phillies in a single season (including Nola and Wheeler adjusted for a 162 game season in 2020). 11 hitters and 8 pitchers, totaling 52 individual seasons.
WAR is an imperfect stat, but its a useful guide. . I counted 52 separate occasions of 5.0 bWAR or higher in this time period
Bobby Abreu accounts for 7 of those 52 seasons. Only Mike Schmidt put up 5 or more bWAR more than Bobby in this time. Schmidt managed it 8 times since 1980 (and another 5 before 1980). Chase Utley did it 6 times, Carlton 4 times (plus 2 before 1980), Hamels 3 times and Schilling 3 times.
Among those 52 seasons there were a numbe rof players hwo reached peaks far above Abreu. His best season was 6.6 according to Fangraphs and that is good for 22nd on this list. Ahead of his best season are Schmidt 5 times, Utley 5 times, Halladay and Lee twice each, Carlton, Dykstra, John Denny, Darren Daulton, Scott Rolen, Nola and Wheeler*
Bobby was probably never a realistic MVP but he was a clear all star, a very consistent performer and would have received a fair share of MVP votes. He finished in the top ten among batters in bWAR in the NL 5 times, but only as high as 7th place.
To an extent his HoF campaign likely suffers from a similar issue to Chase Utleys, performing in skills that were very conducive to winning but were not recognised for doing so at the time. I hope he can stay on the ballot for a few years so that we can get a series of articles from writers extolling his virtues towards the back end of his eligibility.