TL;DR: They dig in like ticks with marketing folks and saddle everyone else with dated and inefficient tools. The make integrations next to impossible, exports messy, and seemingly strive to fracture teams by providing duplicate services to tools like Slack, Asana, JIRA, GitHub... etc... that all do everything Basecamp does, but better, AND also offer integrations so all your teams can play nice and work seamlessly. Basecamp is cancer. I'd be surprised if they're still around in 10 years if they don't open their platform up and make it easy to swap components in and out of their closed system.
If a team already has Slack, or Skype, or Flowdock, or HipChat, or Fleep... or any of the other 200 chat tools... now with one instance of Basecamp introduce to a team they also have to check that system for messages from the one team that uses Basecamp in their company. Not even sure you can turn that feature off... but it's inefficient to not have integrations. "One-solution-fits-all" is dead, open APIs and modular tools lead to happy teams.