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I got a Rehgar Hero Chest and it had absolutely no Rehgar items in it. It did however have...
...a Rexxar skin! Others have reported this bug in the past as well.
Sometimes when you get a Rehgar Hero Chest, you get a Rexxar item instead.
edit~ To be clear, there were no Rehgar items in it including voice lines. I rerolled it and eventually got a voice line in each reroll. The first no Rehgar chest also contained no shards.
BlizzTravis
It does not. While there are exceptions due to the free rotation, in most cases, a player who gets a hero to level 10 owns that hero so it didn't make sense to include the hero itself in the chest.
BlizzTravis
The hero-specific item is anything specifically related to the hero. That includes the hero's emojis set, the hero's voice lines, the hero's announcer, and the hero's skins.
Edit: It doesn't currently include portraits or sprays of the hero, but it will in the future.
BlizzTravis
Thanks for the report. I see the problem and will get it fixed!