I believe that between good deck building and careful mulligans that you can easily fix your hand in this type of Gwent
Consider this
I have built a deck for consistent hands centered around a small amount of powerful minions. In my deck I have 4 Disloyal spies with an average power of 8. by default, I must have 22 unit cards, only 18 of them are effectively cards, as the spies are the Dijkstra version (See one face up, one face down, pick 1) which cycle through your deck, looking for cards that are useful. As i know my deck is only good with a small number of cards, I only choose three cards for specials, 1 Commanders horn, 1 Scorch, and 1 Epidemic, as these cards are always going to do something.
This makes my deck 25 cards total, but only 19 of them are cards that actually use resources, as the spies cycle themselves.
In the even I drew 10 cards, I can mulligan 3 of them. I have a 1/15 chance of drawing the exact card I want from my deck (As ten are are unable to be drawn though the mulligan) and I have three Mulligans. (I assume that cards that are passed in mulligans are not added to the cards that you can receive from a different mulligan) This means I have a 1/15, a 1/14 and a 1/13 chance to get a single card that I need for my hand. All of my cards are at least Mediocre and can be played even in the event I don't achieve my deck's goal.
I only drew into 3 of my spies, but this is ok. My opponent goes first, playing a Mushrooms card. I assume they are playing to win R1. This is when I will yeild my spies to their board. I play a non spy card, to bluff that I am committing to the board for a fight. They play a powerful card, to which I answer with my spys.
This tactic should be standard.
my first spy I have 2 1/15(6.67%) chances to draw two cards that will be the best against this deck (Say epidemic/Scorch). the card I see face up is a minion card that has an OK effect. I choose a 1/14(7.1%) chance to find the card I want on the face down.
This continues 2 more times, as the opponent commits resources to the board so I do not snipe the game from their passing.
The chances go as following:
Face up has a 1/14 (7.1%)chance of being the card I want, the face down is a 1/13(7.6%)
Face up has a 1/13(7.6) chance of being the card I want, the face down is a 1/12(8.3%)
If I were to draw into my final spy, 1/12(8.3%) and 1/11 (9.01%)
My final draw alone Gives me nearly a 10% chance to draw the exact card I need.
Considering the mulligan system and a good deck build you will almost always have the cards you need (Not to mention the 13/25 chance of having them outright which is above 50%)
These combined effects lead to (52% [Mulligan]+6.67%[S1 face up]+7.1%[S1Face Down]+7.1%[S2Face up]+7.6%[S2Face Down]+7.6%[S3Face up]+8.3%[S3Face Down]+8.3%[S4Face Up]+9.01%[S4Face Down]= 113.68% Chance To Draw The Card In theory.
If you are running a deck with a very specific win condition, you MUST choose less cards for this particular tactic. Anything over 30 or so cards will make the chance smaller exponentially.
Otherwise, it is important to consider using other spies effects as it will be more effective to the deck you are playing.
Most likely you lose R1 in this situation, but your opponent MUST commit resources each turn you cycle a spy in order to win the round. This loss of resources will result in your ability to win Either the next two rounds (As you have far more power in your hand) or Win R1 if they yield early by committing efficient removal to the board and overpowering, allowing you to win either one of the next two rounds with superior card efficiency.
This is a very round about way of saying that the Dijstra power cards are still very powerful, even though they are nowhere near what they used to be (OP)