I don't agree with that statement. I don't agree with it at all. And here's why.
If there is no I in Team, then there is no Team. What constitutes a Team? A complex and fabulous mix of assorted talents, egos, sense of humour, backgrounds, loves, dislikes, musical tastes, passions and expressions - or not.
Each of those things, each of those little foibles are valuable to the Team. They contribute something fundamental to the 'dynamics' of the team - I hate the word dynamics but I can't think of a better one. So what is a dynamic? The thing that makes a team a Team. It's the way you fit together, the way you contribute together in order to achieve an objective, the way you are frictionless or frictionful, the way you trust and the way you hesitate.
If there is no I in Team, how do you know what someone will bring to your team life? How do you know when that person is likely to be sad and when they are likely to be happy? How do you know it's sunny so today is a good day to load Jo with some extra work because she'll be finished by 3pm and twiddling her thumbs and she doesn't like doing that much? How do you know that last night Sam went to a gig he has been looking forward to for weeks and this morning might not be the best time to tell him his workload for next week just doubled as a deadline shifted forward 5 days? How do you know that Ella went to a funeral on flexi time this morning and it might be best that everyone just left her alone for a while until she made it clear herself she was ready to join in again in her usual joke throwing pithy comment lobbing way?
There are multiple I's in team. Multiple personalities and multiple external influences. Lots of wrongs and lots of rights. Lots of conflicting pulls on time and thought and energy. Lots of fabulous energy which if harnessed at the right time can do simply amazing things. But simply amazing things are not achieved by one person alone - simply amazing things are achieved by pulling together, leaving the differences between I's at home and putting Team first.
But that does not mean there is no I in Team.