No, not unless a spell specifically allow it to cross planar boundaries

Etherealness says:

You ignore all objects and effects that aren't on the Ethereal Plane

Unless the caster has a means to transport their effect to the Ethereal Plane, all spell effects that they create will be in the Material Plane. And since a creature under the effects of etherealness is immune to effects not in the Ethereal Plane they would not be affected by them.

Additional support comes from the part you already quoted:

Creatures that aren't on the Ethereal plane can't perceive you and can't interact with you, unless a special ability or magic has given them the ability to do so

True seeing might give a creature the ability to see you, but it does not magically give them the ability to interact with you. You are still on a separate plane. Thus, they are not able to target you with effects for this reason as well as it is a type of interaction.

Spell which target by sight still have to meet other requirements

As a related aside: when a spell says that you must be able to see the target, it does not mean that this is the only requirement that the spell has for being able to target something. All spells, for example, must have a clear path to the target (unless something in the spell effect says otherwise) by default.

Though nothing says it explicitly in the rules, it seems the most logical ruling would be that you do not have a clear path to things on a separate plane from yourself. Spell effects cannot cross planar boundaries unless they explicitly say so. Adding a requirement that you must be able to see the target does not bypass these other considerations.

Jeremy Crawford also unofficially supports this idea in a Tweet by saying that another plane is an infinite distance away.

If two people are on different planes of existence, they are infinitely far away from each other. For example, if I'm on the Material Plane and you're on the Ethereal Plane, we're not within 30 feet of each other.

Being an infinite distance away means that any spell with a limited range will fail.

The way I interpret true seeing is that if you can see an area, then you can see any ethereal creatures or objects in that area (among other things). If you're in a fog cloud, or wearing a blindfold, or have a bag over your head, you can't see at all, so your true seeing is functionally blocked as well.

As far as walls go, we're told that material objects seen from the ethereal side are "muted and indistinct", "shadowy", and that they don't "hamper movement", but nothing says you can see through walls simply by being on the ethereal plane. I see no reason truesight would be different.

The DMG doesn't go into a ton of detail about other planes, but one of my favorite 3rd Edition resources was the Manual of the Planes, which was very specific about this:

To viewers on the Ethereal Plane, objects on the Material Plane are foggy, indistinct, and almost translucent. Such objects block line of sight and provide concealment, but not cover. An ethereal observer can't see through a wall on the Material Plane unless he pokes his head through it first. An ethereal character whose eyes are totally within a Material Plane object cannot see.

That doesn't exactly address the question you're asking, but I think it's clear that the intent is that your field of vision doesn't change when you're seeing into the other side, only what you can see within that area.