Teamwork is important even if it is a traditional company. It cannot be an exclusive reserve of the "modern" company. Secondly, you have not mentioned the limits of teamwork. Should it be confined within the boundaries of the company or it can go beyond? If it can beyond then with whom a company can have teamwork?
Lastly, whether traditional or modern, teamwork demands to be open and transparent. But then neither you have disclosed your name or designation or the type of industry. You have not disclosed as to why you felt teamwork is close to your heart. This type of introversion, is it consistent with the theory of teamwork? Can you please clarify?