Even in a self-employment situation a team spirit must be present. That spirit will grow if there's trust and integrity involved (as you stated in your text) but the main source comes from the top, you in case it's your business.
I think there's a big lack of both virtues but that doesn't necesarily means a business won't success. It's a paradoxical reallity but also historical to be accurate. The "team" word seems to appear everywhere withing the job environments but few companies have actual groups that behave like should. Competitiveness seems to be camping freely and who is your partner (team mate) today may convert himself in your "killer" if possible...sad.