It's a negative to the design, but the worst possible case is you go read or watch something where you won't need your mouse for 10 minutes.
My wife works in a small, elementary school and I help with the computers from time to time. One day, their network was misbehaving and I needed to change some settings on their iMac "server". I quickly discovered that the mouse had lost it's charge over the 2 months that they didn't use it and I had to plug it in and wait for it to get a small charge. Well, first I had to find a USB <--> Lightning cable.
Anyway, the worst possible case is not that you go read something for a while; sometimes your network is down and you have to wait 10 minutes before you can fix it. Just because some designer thought it would be ugly to put a "tail" on a mouse.
More seriously if it went from misbehaving to calling you in to getting to the computer and adjusting it, it doesn't sound like the four minutes of charge time was anything but negligible. Finding a cable sounds like a bigger issue, and that could happen to any wireless mouse. (and wireless is definitely not a dumb design decision, there are clear usability advantages to wireless mice)