I'm sure they've considered it as much as the team has considered a player-friendly one.
It's also worth mentioning: comparing him to Mahomes is dumb for many reasons.
First, Mahomes got 1st round money already at least. He signed a 4 year, 16-something million dollar contract. Dak signed a 4 year, 4-something million dollar rookie contract. Mahomes made more doing nothing as a rookie than we paid Dak in his entire 4-year contract. Mahomes has already been compensated much more fairly.
Second, Mahomes is still years away from being at the point Dak is at -- the team controls him for a couple more seasons before they even have to sign him or tag him. Teams who extend players years early, like if the Chiefs did that right now, typically pay less money because the player has less leverage and is willingly trading some money in exchange for getting his payday earlier just for the peace of mind and for the immediate gratification (not to mention the time value of money).
Third, Mahomes can say whatever he wants to say, just like Dak arguably said all the right things too (explaining why our idiot fans all assumed we'd be able to browbeat him into accepting less than he's worth). Until Mahomes signs anything, comparing Dak to the hypothetical team-friendly deal you think Mahomes might sign in this fictional scenario is stupid.
Fourth: Mahomes was the son of a professional athlete who made multiple millions of dollars. His relationship to money might bear no resemblance to Dak's, who grew up with a single mom whose earning potential wasn't the same as Mahomes' dad. It's the reason why unpaid internships used as entry points in industries create an unfair advantage for rich kids, because people who have no concept of needing to make money or provide thanks to their rich parents, can afford to work for peanuts without it affecting their quality of life. Mahomes has wealthy family and has already made many times what Dak has made.
Fifth: Mahomes off-field earning potential is higher so he can afford to take less from the team and make it back more easily. He's more visually distinct, like a cartoon, so he has a higher ceiling based just on being recognizable and having a more distinct look. Second, he doesn't have a local fanbase that hates him for cosmetic reasons the way our fans tend to hate people who possess the trait Dak has. So even if their national advertising income chances were comparable, Mahomes will rake in more local money if he chooses simply because his fanbase isn't a dumpster fire of toxic grossness.