That can be addressed on two levels: mechanics and flavor.
In terms of mechanics, it's simple: players are in no sense planeswalkers and planeswalkers are in no sense players. The only overlap is that both can be attacked and both can be dealt damage (the latter of which they also share with creatures). Planeswalkers are just permanents with a restriction on when their abilities can be activated and the capability of being removed via attacks and other damage.
The reason burn can hit planeswalkers is that they wanted to players to have that option of dealing with them. The reason it's a blanket "all player-directed burn also works on planeswalkers", implemented via the redirection rule or the upcoming errata, is that planeswalkers were introduced so late in the game and they needed a way to grandfather in all the burn that was printed before planeswalkers existed. If planeswalkers had been there from the start, we'd probably have burn cards hitting any of the seven combinations of players, planeswalkers, and creatures.
It's normal for permanents to be dealt damage. Creatures have done that since the game began. And there's no lie when it happens. If you use
Chandra's Defeat on a planeswalker, the Defeat deals damage to the planeswalker, and the planeswalker has then been dealt damage by the Defeat. On the other hand, if you somehow used
Bump in the Night on a planeswalker, it would be a lie: the Bump says to cause its target to lose life, but the planeswalker doesn't lose life, and then hasn't lost life.
In order for that to work at all, it would either require a rule that makes cards do something unrelated to what they say they do, or utterly bizarre errata ("Choose target opponent or planeswalker. If the target is a player, he or she loses 3 life. If the target is a planeswalker, remove three loyalty counters from it.")
In terms of flavor, sure it's weird, but so is everything else. Again, the only similarity between players and the planeswalker game objects is that they can both be attacked and dealt damage. If you think that, because they conceptually represent the same thing and should thus work the same way, you need to explain why they don't. Why can planeswalkers repeatedly use the same "spells" when planeswalkers are limited by what they have in their hand and what mana they can produce? Why are planeswalkers immune to discard and milling? Why can't players be hit by
Dreadbore?
And, of course, there's the issue of why creatures are treated so differently from both players and planeswalkers, and of why cards even have the targeting restrictions they do. Why are creatures immune to being spiked (or axed) by lava? Why can't creatures be bumped in the night? There's no flavor explanation for these things. They just designed different cards to affect different things.
Because the flavor is so fluid and so full of weirdness and exceptions, flavor consistency can't be used to justify any particular change.