Yes and no. In total you are giving the executive the same amount of “compensation” but not reporting the $5,000 per month apartment on the employee’s W2, means no income tax was withheld, the wages were not reported so there is no impetus for the employee to self-report and pay taxes on it, and the employer gets out of paying the employer’s share of FICA, etc.
And I was always under the impression that the employer reports these forms of compensation on a W-2 not to help the IRS ensure compliance, but to let the employee know the exact amount of the non-cash compensation. If my employer hadn’t given me a W-2 form with the insurance premiums listed, I never would have known how much the company had actually paid for those things.