If recent history is to be referenced combined arms has a bad track record against light infantry, they always lost the war, obviously in battle they won most of the engagements due to their superior firepower, but in the long term they always lost the war and had to be withdrawn, recent examples: US combined arms vs north vietnamese light infantry, soviet combined arms vs mujahideen/taliban light infantry, the inevitable US/NATO defeat in afghanistan against taliban light infantry (its just a matter of time before US withdraw and kabul will be back in taliban hands) the only success the US combined arms had was in iraq and that is just a very limited success to say the least
all of this is due to the glaring weaknesses of combined arms, they simply dont have the staying power, the financial and human burden is too detrimental to the country's economy and political system, the enemies can simply just absorb the casualties and "wait them up" especially if they dont have the support of the local population. and in afghanistan what happened recently is that the taliban are able to inflintrate the afghan army and inflict casualties on NATO troops, further deteriorating the relationship and trust between coalition forces and afghan army ready to be exploited further by the taliban, if i am not wrong this was never happened to the south vietnamese army There is no such thing as defeating groups who can always recruit more members to fight the invaders.
Sounds like you're not accounting for the combined arms side taking over the country of the infantry side, whenever a war happens on your home turf (not to mention being completely overrun) you are always the loser, it is just a matter of losing by how much. The infantry side has no chance whatsoever of returning the favor to really invade the combined arms side, occasional infiltrations and terrorist actions don't count.
You also failed to note that the ability of the infantry sides in all these conflicts to carry on the fight are directly related to how much third party/external help they receive. The infantry sides were able to inflict significant losses on the combined arms side and eventually won in the Vietnam-US and Afghanistan-USSR scenarios because they received immense aid. In the current Taliban-US and Iraqi-US scenarios the infantry sides are/were pretty pathetic (in the Iraqi scenario they aren't even infantry only from the outset, they were a combined arms force reduced to infantry only).