We have a client which is MAD cause the project is riddled with bugs, but the solution somehow is paying more attention. Except that it clearly isn’t feasible to pay more attention when you have to check, recheck and check again the same thing over and over…

By definition, automated testing means paying more attention, and doing it so well that the process is automated.

They say it’s a waste cause you can’t catch UI (…)

Show them a working test that’s catching UI bugs. It’s hard to argue against facts.