To me, it looks like much better idea to have multiple 3500 watt circuits. Not necessarily one circuit per guest, but let's say 2 guests per circuit for example. If you're using 230 V voltage, that's bit below 16 amps. So it means you can use ordinary Schuko connectors and 1.5mm2 cables. For 120 V voltage, the output already would be bit below 30 amps, which probably can't be used with standard cables and standard connectors.
If you parallel the outputs of 3 inverters, that's 46 amperes at 230 V and 88 amperes at 120 V. It would require 10 mm2 cables at 230 V, and 25 mm2 cables at 120 V. Have you seen those cables? 10 mm2 is thick, especially if you have three inner cables (ground, neutral, live) in a composite cable. One 25 mm2 cable is as thick as car jumper wires and a mains cable requires three cables for neutral, live and ground. Or actually one cable in a mains cable would be probably thicker, as with higher voltages you need more insulation.
In addition to the huge cables, you need connectors capable of delivering that current. Ain't going to be easy to find them.
In contrast, if you limit each circuit to below 3500 watts, standard cables and connectors work just fine.
If the inverters were smaller, let's say 1000 watts, I would encourage to parallel them if at all possible to get near the limit of ordinary cables and connectors (3600 watts at 230 V), but paralleling 3500 watt inverters to get over 10 kW is entirely different, the copper need in cables would be ridiculous.