"Of course it does: engineers will be more productive, we'll have less bugs and better performance. {TECHNOLOGY} has been around for {N} years and getting more and more traction. Do you want us to be ahead of our competitors or not?"

"You need to understand that sometimes you have to sharpen your axe before cutting the trees. Have you heard the phrase 'work smart, not hard'?"

"So essentially you're saying we shouldn't change anything despite having issues (bring up any bug/downtime you had recently). John, sometimes you have to escape the comfort zone and learn new technology."

I once worked with a person who talked like this in front of non-technical founder. I bet he did sound quite convincing, it took me a while to cut through the bullshit.