Are there playable, level 1, eladrin elves who are fey? It seems not. Despite being native to the fey wild.
Even in 4e, Winterkin Eladrin differed as much by what their Fey Step variant Winter's Shroud did (teleport + gain concealment in response to taking damage) as they did from their cold resistance. Heck, most of their feats actually played off of Winter's Shroud; Chilling Presence let them use it to inflict retributive Cold damage instead of teleporting, Swirling Snow let them create temporary zones of light obscurement when they teleported, and Winter's Reach boosted its teleportation range.
So all elves start out as humanoid. Some live in the feywild. Living in the feywild doesn't automatically make you fey.
Regarding the D&D Beyond video, my interest is the setting assumptions. I worry that 5e is baking too much setting flavor into the core rules. I prefer core rules of D&D to be setting-agnostic, so that any kind of setting is possible using D&D rules. I personally dislike polytheism, so dislike the ‘great wheel’, so am uneasy about ‘celestial’ mechanics.

(Dungeons & Dragons)
Rulebook featuring "high magic" options, including a host of new spells.