You don't believe it is possible that a lawyer assigned to protect the company's trademarks could simply walk into his superior's office and tell him that Beaver's market is infringing on their logo and be told to send them a cease and desist letter and if they fail to immediately comply file suit?
A firm that takes an aggressive line to bill more hours is going to take on all comers. The company take employs such a company gets what they pay for and doesn't care.
Could a lawsuit get filed? Maybe. When the monthly, or quarterly invoice, for legal services, costs, and expert witnesses, arrives at Company HQ, and even more certainly, when Company HQ is notified by the law firm that an exec has to sign off, under penalty of perjury, on the discovery responses the law firm has drafted, or that an exec has to sit down for a six hour deposition, under oath, or that at least one, and preferably more execs need to travel to wherever the lawsuit is and be present for the jury trial, because jurors don't take it well when they have to show up for trial, and the company can't be bothered to send execs to show up, I don't believe that it is remotely possible for a lawsuit to proceed, without the company being behind it.
People who know nothing about litigation, except what they see on the internet/TV, and who consider these lawsuits to be both unnecessary, and oppressive, but like Buc-ees, are trying to make Buc-ees the innocent victims of their own attorneys.