The console values are different from the ones Valve reports to us in the API. We have no idea why Valve calculates 2 different values, but we can only use the ones available to us, which are the ones in the API.
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Hero dmg. Information from the Valve stats and Dotabuff are different in all games.
For example
http://dotabuff.com/matches/355629017
COMBAT SUMMARY
--- Windrunner ---
Total Damage Done: 8649
to Medusa: 817
to Lone Druid: 1479
to Bloodseeker: 2137
to Axe: 2195
to Nature's Prophet: 2021
Total Stuns: 31.50 seconds
Total Slows: 25.00 seconds
--- Pudge ---
Total Damage Done: 20090
to Medusa: 3379
to Lone Druid: 2910
to Bloodseeker: 5379
to Axe: 5151
to Nature's Prophet: 3271
Total Healing Done: 500
Total Stuns: 16.50 seconds
Total Slows: 21.50 seconds
--- Phantom Assassin ---
Total Damage Done: 8494
to Medusa: 844
to Lone Druid: 2417
to Bloodseeker: 2918
to Axe: 1322
to Nature's Prophet: 993
Total Slows: 120.00 seconds
--- Viper ---
Total Damage Done: 25771
to Medusa: 6734
to Lone Druid: 3253
to Bloodseeker: 6054
to Axe: 3474
to Nature's Prophet: 6256
Total Slows: 413.20 seconds
--- Outworld Devourer ---
Total Damage Done: 11223
to Medusa: 1372
to Lone Druid: 2897
to Bloodseeker: 4197
to Axe: 2397
to Nature's Prophet: 360
Total Stuns: 16.00 seconds
--- Medusa ---
Total Damage Done: 21251
to Windrunner: 3923
to Pudge: 3165
to Phantom Assassin: 2590
to Viper: 8742
to Outworld Devourer: 2831
Total Stuns: 21.06 seconds
Total Slows: 108.00 seconds
--- Lone Druid ---
Total Damage Done: 8382
to Windrunner: 731
to Pudge: 1861
to Phantom Assassin: 2445
to Viper: 1393
to Outworld Devourer: 1952
--- Bloodseeker ---
Total Damage Done: 18580
to Windrunner: 4076
to Pudge: 5539
to Phantom Assassin: 1725
to Viper: 4451
to Outworld Devourer: 2753
to Medusa: 36
--- Axe ---
Total Damage Done: 15775
to Windrunner: 1606
to Pudge: 4371
to Phantom Assassin: 2426
to Viper: 3942
to Outworld Devourer: 3430
Total Slows: 358.00 seconds
--- Nature's Prophet ---
Total Damage Done: 14760
to Windrunner: 3766
to Pudge: 1381
to Phantom Assassin: 2517
to Viper: 4246
to Outworld Devourer: 2850