I've worked for two startups. Having a tight-knit culture was essential to the success of both of them. If you're not willing to bleed for your teammates, go work for a BigCo. The notion that people would have needed or benefited from private offices in either place was laughable.

Alternately, just suppress it and do the work.

And no one, including me, ever claimed that startups needed private offices. That's your "issue."