Does your company have a statement about sexual harassment? Or about killing employees? About stealing equipment? Why not - these are crimes as well. A simple statement, signed by your accountant or lawyer, would do the trick.
Installation of auditing software would cause too much trouble - your statement and support for (the companies that joined) IMSTA should be enough to give you the opportunity to be proud of your assets - and to use the logo.
And sometimes I just don't get it - we are prepared to pay thousands for a new or even vintage piece, but a much smaller investment in software (that we will use daily) is difficult.