And I thought there was no need to ask you to avoid those theory. Even hesitated to ask it in my previous post.
Barbarization and Decadence theory are highly debated among scholar. The late Roman Army been heavily specialized the use of spear have less to do with barbarians recruits than the evolution of warfare. The battle of Strasbourg (357) or the campaign of Majorian are interesting example of the capability of the Late Roman Army in the West. It is not not the subject so I won't go further about it.
(At least that makes me defending our poor Romans once in a time.

)
Most fighting involved whole group of soldiers rather than individual duel. As we are discussing about weapon and no specific "unit" you must assume each group is of equal skill if you want to compare them. Truth to be told a group of spearmen formed in shield-wall is a fierce challenge for a group of swordsmen of equal number and skills.
And please don't come with warrior of salon theory about how you would defeat a kind of weapon. This won't add much to the discussion. (Don't take it personally. It is just that I am now cautious)
Like you said swords often took social connotation been consider as a noble weapon and been symbolic of a good statue while the spear been easier to make and more cheaper to produce it was often consider a weapon for the lower and the larger part of the army. But there is surely good reasons why for most era of history you could find soldiers who could equip themselves with swords and good armour that would prefer to use spear, pole weapon or pike over swords as their primary weapon.
I personally think that the spear used in formation is as good if not better than the sword all things equal. But this is only my humble opinion on the matter.