There aren't many that I think are unique to Texas Mutual. I think many of the things people would call 'cons' are really just issues that are widely present in an industry that has been around for 300 years. Some of the IT systems are old, but they are working on replacing/upgrading. This isn't Google, Pied Piper or pets.com. Companies that successfully make hundreds of millions of dollars a year in profit with extremely high customer satisfaction and retention have no real reason to accept the risks of changing at the speed of light. Market leaders simply do not do that.
The only other con is probably that the company is outgrowing some of its physical infrastructure, and parking can be challenging.