The definition of trust that security professionals use is that A trusts B if B has some way to do something bad to A. A can stop trusting B by taking steps to

The definition of trust that security professionals use is that A trusts B if B has some way to do something bad to A. A can stop trusting B by taking steps to eliminate the ability of B to harm A. So, the statement "Microsoft Edge runs on the same technology as Chrome, with the added trust of Microsoft" actually means "Microsoft Edge runs on the same technology as Chrome, with the added ability for Microsoft to screw you over".