Knowing returning visitors from first time visitors is quite important and helps to asssess if viewership, audience and customer base is growing over time.
For startups the "how many unique visitors do you get in a month" may be an important KPI and you're saying your solution cannot answer this question, so another solution will be needed to be deployed.
Unique visitor data's also needed to assess effectiveness of campaigns and run e-commerce operations. There's often campaigns to bring back a user who previously didn't buy (email, ads etc). It's important to measure the effectiveness of these investments separately in web analytics given the campaigns will be different for new and recurring visitors.