Yes; the ruling is now official and explicit from Sage Advice

As Dale M's previously-accepted answer said, the PHB rules for the Arcane Trickster imply that its class spell list is the Wizard's spell list.

This was made explicit in the official Sage Advice, which says:

For you to meet a spell scroll’s requirement, the spell on the scroll needs to be on whatever spell list is used by your class. Here are two examples. If you’re a cleric, the spell must be on the cleric spell list, and if you’re a fighter with the Eldritch Knight archetype, the spell must be on the wizard spell list, because that is the spell list used by your class.

From the example of a Eldritch Knight, we know that there is no class list of spells for the fighter class, but the class list for a fighter that becomes an Eldritch Knight is the wizard class list. We can conclude that there is no class spell list for rogues, but a rogue that becomes an Arcane Trickster has the wizard spell list, "because that is the spell list used by your class."

Thus an Arcane Trickster can use spell scrolls of spells that are on the Wizard spell list.

Thanks to InternetHobo who encouraged Rubiksmoose to cite the SA Compendium in their answer.

Counterspell causes a spell to fail and a scroll to be consumed

Counterspell works differently than just stopping a spell casting or scroll reading.

“Fails and is wasted”

Jeremy Crawford recently responded directly to a question about counterspelling a spell scroll:

Marc Sharma asked:

@JeremyECrawford If a spell cast from a spell scroll is counterspelled, does the scroll lose its magic as if the spell was cast?

JC replied:

When successful, counterspell foils a spell that is cast. The casting isn't undone. The spell fails and is wasted.

https://twitter.com/JeremyECrawford/status/786982774926249984

The language used is general, because counterspell works similarly regardless to the mode of spell casting. It wastes whatever resources were used to cast it, whether that’s a spell slot, a spell scroll, a daily use (for monsters) — and in any case, the action (or bonus action or reaction) used to cast the spell.

The general case: normal interruption of spells and scrolls

When a caster simply stops casting a spell before finishing, a spell slot is not expended.

When you cast a spell with a casting time longer than a single action or reaction…if your concentration is broken, the spell fails but you don’t expend a spell slot or scroll:

PH p. 202, Longer Casting Times

Edits to the DM Basic Rules have specified that spell scrolls work the same way:

If the casting is interrupted, the scroll is not lost.

DM Basic Rules, p. 60

The wording for scrolls is a little different, but the results are the same. If you simply stop casting a spell or reading a scroll before completing it, it’s as though you had not started.

The rules errata simply make it clear that reading from a scroll works like casting a spell in any other way, in this regard.

“The spell fails, but…” vs. “The spell fails, and”

The word but in the errata about interrupted spells calls out that this is a special case. In general, spell failure entails expending of a spell slot, or scroll, without causing a spell effect, as when failing to cast a higher-level spell scroll:

On a failed check, reading the scroll only consumes its magic with no other effect.

Or in Crawford’s tweet:

The spell fails and is wasted.

DM Basic Rules, p. 60

Counterspell resolves a spell and replaces its effect

Counterspell does more than just interrupt a spell’s casting. When Counterspell is successful:

“The spell fails and has no effect.”

PH, p. 228. Emphasis added.

This phrase is used 3 times in the spell description; it’s key to understanding the spell. The spell is not just interrupted, it completes, fails (without “buts”) and its effect is negated.

Only a completely cast spell has an effect to negate, so Counterspell does not stop a spell before it’s cast. Then, “once the spell is cast, the words on the scroll fade, and the scroll itself crumbles to dust.” (DM Basic rules, p. 60)

Interrupting the casting is a relevant, separate effect of Counterspell

The fact that Counterspell interrupts a casting is relevant when the spell has a long casting time: you don’t have to wait until a spell is about to resolve to counter a spell. This is why Counterspell both interrupts a spell’s casting and then causes the spell to fail.

The Original Misunderstanding

A historical note, I suspect the original misunderstanding about whether a spell scroll is used up while it is being read comes is based on some “color text” in found in first edition AD&D:

As a spell is read from the scroll, its letters and figures writhe and glow, the magic is effected, and then the lines fade and are gone forever

This passage appears on DMG p. 117, AD&D 1e, 1979 Revised edition, and DMG p. 118, AD&D 1e, original printing.

The rules errata make clear that if a some modern spell with a longer casting time is interrupted normally, the resources that went into casting it are not wasted. This normal interruption of spell casting is different than Counterspell.