You're right. Time is a limited resource, even if love may not be. People with young families - or families at all - careers, hobbies, friends and partners have a lot to juggle at once. It takes organisation (people in the poly world joke about having to be really good at Google calendaring), planning, communication and willingness to shift when things like illness come up. Some people decide to practice poly when they have more bandwidth - when kids are a little older, for example. Others limit the number of partners they're seeing and create a weekly schedule to see their partners. But you're right. It's not easy. It takes discipline and willingness to let some things go so other priorities can receive the time, energy and attention they require. There are many benefits and advantages to the poly lifestyle - growth and more fulfilling relationships among them - and, as in many things, it takes effort (just as monogamous relationships do, in other ways).
The next article in the series talks about this and other challenges, and how poly folks try to address them, in case it's of interest: https://medium.com/conscious-relationship-design/navigating-the-complexities-challenges-in-polyamorous-relationships-e164d45feb48
Hoping this helps!