I disagree we have no cards to play but I guess it depends with which confirmation bias you want to look at it
I think you are mistaking two things here. You say we, as a club, are now in a spot that people do not understand. Let's do a little comparison to try and untangle what maybe we agree on without even understanding that we do agree on it.
Bayern (for example) are, reportedly, in a similar situation than us with their midfielder Thiago. We could also say that historically, and this season, they too are in a great position in terms of being huge football club with much appeal and all that stuff.
Bayern has set a price tag for Thiago. We can also guess that they have a number they are not willing to go under even at the cost of losing him for free. We can try and guess what that number is but it would be useless for the benefit of this exercice. What is important is that this number, in the context of what you are saying, serves as a tool to make sure that a message, which is ''we won't be lowballed or raided for our players'', is sent. It is, if you like, parameters that they have set for any eventual negotiations for Thiago.
All of this is a position/stance that Bayern chooses to adopt because of where they are as football club (in a position where they can afford to not get pushed beyond a certain point even if it means losing a player on a free) and has nothing to do with factually being in a good or bad negotiating position to obtain the price they have set for Thiago. If Bayern will receive 30M from us for Thiago will depend on if we want to pay that money for Thiago, if we can pay that money, if there is other clubs Thiago would want to join that are willing to pay that money, etc. (all factors that Bayern has absolutely no control on)
Same stuff applies to Wijnaldum, us and Barcelona. We can set parameters that we wont negotiate out of (a minimum price) but it doesn't mean that within those parameters we hold the cards to steer the price towards the number we set as our valuation of the player (maximum price if you wanna call it so).