I've been fighting for almost a year to get links in our profile pointed back to our website for a website with more than 1 Million hits a year and a 30k Google Ad spend.
I have no idea how to actually do this, I just remember seeing a link asking if I own this or that business on maps, I guess when it is unclaimed?
In fact when we log in to manage our profile it still shows the correct link, but the link replacement is happening on a layer in between the profile management and what displays to users.
After several years Google just swapped the link to a 3rd party that claims to have an agreement with us. Which there is no documentation of, and the dispute process is not handled by Google but the 3rd party directly. Which is why fixing it has taken over a year.
And to correct my earlier comment our Google Ad budgets is now 120k+ per year. But even this doesn't give us the ability to appeal to a higher authority and swap the link.