Unless your description has been misinterpreted, you sound to have the
inverter connected direct to the alternator, not via the battery, which acts
as a capacitor between alternator and inverter, restricting current flow. Is
this the case?

NO. the inverter is conected directly to the battery.
would the cables that go from the alternator/battery switch to the
battery go directly to the inverter since both cables(inverter and
switch/alternator) are on the same battery post, or should the battery
act as a capacitor? wow am I confused?