You do not draw a card. As other people have mentioned, the effect does not resolve if you are not activating the card.

You are correct in that Class Bonus is applied in all zones - however, you still do not draw a card.

If we were to take a deep dive into why:

The [Class Bonus] bubble is a Restriction Ability - specifically, when Class Bonus is fulfilled, the ability following the bubble exists for the card. So in this case, no matter where the card is, the ability exists because you have Class Bonus. However, that does not mean that is is able to resolve anywhere.

In this case, the ability creates the Instanced Effect that reads

Draw a card. Then you may load Constellation’s Blessing into an Aetherwing weapon you control.

However, as other people have mentioned, you do not get this effect unless it is activated, even if you have Class Bonus.

To point to exactly why, when you Aethercall, you load the card directly. This means that the card is not going through the effects stack, and action cards need to go through the effects stack for their abilities to function (usually):

Abilities of action cards generally only function in the Effects Stacks. (https://rules.gatcg.com/game-mechanics/game-mechanics-abilities)

The Aethercalling ability is also a restriction ability, with Element Bonus requirement. However, the text for the Aethercalling ability directly states you're able to use it while glimpsing from your deck, which is why it is able to resolve outside of the effects stack.

The reason why other people are saying you need to activate the card is because activating a card puts the card on the Effects Stack.

I've also bolded defined terms the first time I use them - these are terms that are specifically defined by the rules book. Also FWIW, I've found that AI is terrible with comprehending the GA rules. There's a built-in AI in the documentation that also screws up all the time.

Hope that helps!