Because that's best for the business and its shareholders due to simple math.
Gross profits at now + time t are current revenue * growth ^ t * gross margin where gross margin is ((revenue - cost of goods sold) / revenue)
Generally it's much better for startups to devote resources to increasing growth as the exponent base than reducing cost of goods sold which merely multiplies the effects of the exponentation with a limit somewhere below a 100% gross margin.
Forbes estimated Dropbox revenue on track to hit $240M in 2011 and nearly $500M in 2012 which is 108.3% year-over-year growth or 6.3% monthly.
At that growth rate they'll end 2015 with a $4.5B annual run rate.
At the same point in 2011 and1% lower growth rate or 5.3% monthly they'd have gotten to $446M in 2012 and end 2015 at $2.7B
At 1% more or 7.3% monthly their current revenues would have been $558M in 2012 and end 2015 at $7.1B.
It'd take a 37% cost reduction to increase profits the same amount by year-end 2015. Another year of growth makes it 74%. Three years out gross profit improvements from cost-of-goods-sold reduction are not mathematically possible.
Simple arithmetic aside, growth rate is also important as the mechanism which wins land grabs. DropBox is fighting Google Drive, Apple's iCloud, and potentially a post-Balmer Microsoft SkyDrive which plays nice outside their ecosystem.
Dropbox and other startups are usually better off dedicating engineering resources to features that increase growth instead of cutting costs of goods sold via things like a lower cost alternative to Amazon Web Services.
They're also usually better off spending money growing marketing to increase growth rate than engineering and/or operations to increase gross margin.
They're generally better off closing the feedback loop on riskier but potentially more significant improvements (as in bigger addressable markets and more organic growth from each customer) than the more bounded gains from cost of goods sold reduction. More years of higher growth will have a huge compounding effect and when they bet wrong they can try the next high-risk high-reward improvement.
At startups these things are even more important due to the time value of money. Early $10M can be half the company while later in life it should drop below the noise floor. Deferring things which don't need to be done for survival or to increase growth can allow less dilution with bigger wins for the founders, employees, and investors.
Once close enough to the natural limits of their markets without others to exploit and with the land grab won Dropbox will focus on reducing cost of goods sold for better gross margins and profits at which point data centers without Amazon's profits may win.
Update: that’s what they did, finishing in 2016 three years after I wrote my answer. The Epic Story of Dropbox's Exodus From the Amazon Cloud Empire