Where did we land on Invocation spells being Warlock spells?

For instance, if I am making a GOO Warlock, does the Silent Image I cast with Misty Visions benefit from Psychic Spells? It isn't on the Warlock spell list, and Misty Visions doesn't add Silent Image to my prepared spell list or specifically say it counts as a Warlock spell.

Prepared Spells of Level 1+. You prepare the list of level 1+ spells that are available for you to cast with this feature. To start, choose two level 1 Warlock spells.

The number of spells on your list increases as you gain Warlock levels, as shown in the Prepared Spells column of the Warlock Features table. Whenever that number increases, choose additional Warlock spells until the number of spells on your list matches the number in the table. The chosen spells must be of a level no higher than what’s shown in the table’s Slot Level column for your level. When you reach level 6, for example, you learn a new Warlock spell, which can be of levels 1–3.

If another Warlock feature gives you spells that you always have prepared, those spells don’t count against the number of spells you can prepare with this feature, but those spells otherwise count as Warlock spells for you.

That would be a Yes

Quote from starlinvf >>

Prepared Spells of Level 1+. You prepare the list of level 1+ spells that are available for you to cast with this feature. To start, choose two level 1 Warlock spells.

The number of spells on your list increases as you gain Warlock levels, as shown in the Prepared Spells column of the Warlock Features table. Whenever that number increases, choose additional Warlock spells until the number of spells on your list matches the number in the table. The chosen spells must be of a level no higher than what’s shown in the table’s Slot Level column for your level. When you reach level 6, for example, you learn a new Warlock spell, which can be of levels 1–3.

If another Warlock feature gives you spells that you always have prepared, those spells don’t count against the number of spells you can prepare with this feature, but those spells otherwise count as Warlock spells for you.

 

That would be a Yes

The problem is that this doesn't apply to any of the Eldritch Invocations that allow you to cast specific spells, because none of them say that the spells are "always prepared".

In practice, a lot of DMs (including me) would probably let you do that with Silent Image, but I think technically it's not allowed.

Yeah, it's a case where the boilerplate wording doesn't cover a particular class feature's dynamic. I would say that RAI they should be good as spells gained via a Warlock feature.

I would be inclined to call all spells learned from invocations (other than lessons of the first ones used to get magic initiate) warlock spells for purposes of other features, but RAW they seem to be warlock class features or something, not warlock spells.