I put the new deals in bold.

Isn't the shadowrun hong kong extended edition on the flash sales the DELUXE one?

Some statistics, on Feb 16 at 1 PM GMT (including the game just added now):

Current 8 games:
Third time: 1
Second time: 7
First time: 0

Last 24 games:
Third time: 4
Second time: 12
First time: 8
Games appearing twice in the interval: 3

Repeats in a row at the moment: 10

Total:

Games appearing three times: 6
Darkwood
Deus Ex GOTY Edition
Deus Ex 2: Invisible War
Planet Nomads
Shadowrun: Hong Kong - Extended Edition Deluxe
Stalker - Shadow of Chernobyl

Games appearing twice: 16
Botanicula
Bubsy: The Woolies Strike Back
Far Cry 2: Fortune's Edition
Homeworld Remastered Collection
Hyperdimension Neptunia: Re;birth 2
Jazz Jackrabbit Collection
Kathy Rain
Rayman Origins
Shadow Warrior 2 Deluxe
Thief Gold
Thimbleweed Park
This War of Mine
Torchlight 2
Tower 57
Tropico 5
What Remains of Edith Finch

Games appearing once: 29
The Banner Saga 2: Deluxe Edition
Beat Cop
Crawl
Far Cry
The Flame & The Flood
Gorogoa
Hand of Fate 2
Human Fall Flat
Hyperdimension Neptunia: Re;birth 1
Icewind Dale Enhanced Edition
The Little Acre
Metrocide
Not A Hero: Global MegaLord Edition
Papers, Please
Raiden V: Director's Cut
Rayman 2: The Great Escape
Rayman 3: Hoodlum Havoc
Rayman Raving Rabbids
Requiem: Avenging Angel
Revenant
Samorost 3
Serial Cleaner
The Settlers - Rise Of An Empire
Sudden Strike Gold
Sudden Strike 2 Gold
Sudden Strike 4
Tooth and Tail
Tropico 3 Gold Edition
Vikings - Wolves of Midgard

[Edited to fix a mistake, adding together the 2 Hyperdimension Neptunias.]

According to the prices: Yes.

The normal extended edition is currently 75% for 4.29 EUR.
The deal version is 80% for 5.09 EUR, which makes sense for the deluxe edition standard price of 25.39 EUR.

According to GOGDB too.

Just for info - Not a Hero Global Megalord Edition currently on Flash marked as Windows only, but really its not, just like basic edition Linux\Mac is supported

Dammit, its so sad they stopped putting other Neptunia games here on GOG, because with 85% OFF its simply almost free.

I think "The Legacy of Kain: Blood Omen 2" is new to the Flash Sale. (Appeared 2:00 pm Eastern Standard Time.)

I do wonder if I should wait for others to appear before ending up with just this one. Only 4 days left for them to appear...

2018-02-17 05:00 - Revenant - 79% - 1.09 EUR
2018-02-17 06:00 - Beat Cop - 69% - 4.29 EUR

We have still 15 new hours of deals, then the flash deals will end.
After this I think they will focus on the GOG Games with Twitch, or they have something other surprise.

When I bring the Gog website up from the email ad. I can not view the flash deals.

So do the games just come up... flash deal with large discount then go back to normal pricing?

Some games have basic discount during Chinese New Year Sale.

Blood Omen 2. Yoink!