i don't think it's the tube and filter combo that caused your overheating problem.

heat soak is when your performance (hatak, power, etc) degrades because the intake is sucking in all that warm air around the engine bay. low performance lang, not coolant temp problem.

i suggest you investigate someplace else. check if the radiator and auxiliary fans are turning properly... baka umiikot nga, pero mahina. nangyari na ito sa civic ko, kung ano ano na binaklas ko yun pala mahina lang ikot ng fan (aux), kaya pag nag aircon ako umaangat temp.

or the thermostat could be partially broken na. it allows only enough water to pass to activate the thermoswitch, but not enough to cool the head.

radiator could also be blocked. blocked, but not leaking.

could be the rdiator cap not holding enough pressure/vacuum.

could be the a/c going high pressure.

if you want the scary stuff, it could be a blown head gasket. check your oil for water, or your radiator for oil. if either is present on whichever location... be prepared for some major gastos.