Is it a good idea, in one word:
No.
But......
If the panels face North, East or West, or are on a very steep or very flat roof, or suffer severe shading at peak generation time it might be a reasonable combination.
But if the panels are SouthEast, South or SouthWest, in normal conditions of roof slope and minimal shading, the inverter will be seriously overloaded and will probably send the "excess" electricity back round to the panels, causing overheating of the inverter and the panels - and reduction in performance on sunny days (panels drop in performance when hot, and having the "overload" power sent back from the inverter will overheat the panels even more - probably not helping the panel lifespan).
On particularly good days, it's not unusual to see panels outputting 10% more Wattage than their nominal rating. My 250W panels have reached 270W output per panel in ideal conditions. So your client might think he's got peak panel output of 5kW, when it could well reach 5.5kW or more.
Some inverters have a maximum input allowance for the warranty. My Aurora PVI 3.6 has a maximum allowance of 2 strings of 2kWp each, or a single string of 3.75kW. More than that and the warranty is theoretically void.