The Max would be major overkill, and might actually be worse for you because of the worse battery life to drive the higher power draw chip. My personal laptop is a 16" M1 Pro MBP and I’ve never had it hitch on me. My work laptop is a similar spec 14" and I regularly run a dozen of programs at once (Outlook, Slack, Chime, dozens of Firefox tabs, Music, and 3 to 4 IntelliJ instances) without issue. Occasionally it does get a little warm when I’m doing 30+ minute builds, but that is akin to many torture tests reviewers use.

Edit: After seeing the price difference is only $200 I’d just get the Max if you don’t mind a bit less battery life.

I’ve never personally used the machine you’re referring to, but unless you’re doing long video renders it likely won’t matter. Programming takes very little resources, even when using a debugger, compared to the torture tests reviewers use. Any heavy load comes in bursts of compiling/interpreting which also don’t hit the machine anywhere close to as hard. Music production might be a bit more strenuous, but still well within the area of not having issues.

I’d say stick with the 14" if that’s what you prefer. It’s not designed to render videos 24/7, but even if you did that it’s still pretty damn fast even when throttling.