"I think that an environment where someone can tap me on the shoulder when they need help leads to overall higher productivity, even if individual productivity suffers temporarily"

Disagree, I think this leads to poor productivity, generally speaking. When I'm in the office, I'm honestly amazed anything gets done at all. There are so many disruptions, side conversations, etc. that I treat it as a "week off" on my schedule any time I have to go into the office. Once back in my home office, I can get back to writing code.

That said, it likely depends greatly on the job, but this is tech, and coders and engineers need a lot of uninterrupted time to think. It doesn't mean there can't be collaborative time, and in fact it can be helpful when scheduled appropriately, but I think productivity is better when you have a way to turn off interruptions when needed.