Do brilliant pokémon stay brilliant after you catch them?

In the new generation of Pokémon there are Brilliant Pokemon that looks something like this:

Serebii describes them as:

As you play through the game, you will sometimes see Pokémon surrounded by a "brilliant aura". This golden coloured aura signifies that it has a special boost over certain Pokémon.

After you catch them though they seem to loose their aura. Do brilliant Pokémon stay brilliant after you catch them?

Solution 1:

Yes and no. The brilliant aura is more of an indicator that these Pokémon are, on average, better than their standard counterparts in the wild. This is similar to the White Swirl in Pokémon Go indicating a Pokémon is boosted by the weather and has a higher maximum level on capture and higher base IV spread.

As Serebii as stated, brilliant Pokémon will have the following benefits:

• At least two guaranteed max IVs
• Guaranteed Egg Move
• Provides Watts

While they do lose their aura, they stay brilliant in the sense that these Pokémon have better chances of obtaining a better IV spread and do not need to be chain bred in order to gain specific moves.

Since you can transfer egg moves between Pokémon of the same species in this generation, you can potentially catch one with the egg move you want and transfer it over to your more optimized Pokémon (nature, IVs, EVs, etc).