I am not entirely sure if what you are asking is answered by the original TRO:3050. It was near the back of the book where it mentioned that the clans did field captured IS mechs and refitted them with clan weapons.
I personally do not believe that the modded units would be considered IICs. TRO:3055 has several IIC mechs in it, none of them are physically identical to the IS version. There are clear resemblances, but the IIC designs are produced in a factory off of a plan that is an upgraded version of the IS original. The Warhammer IIC for example does have a resemblance to the original 3025 warhammer, but there is a tonnage difference of 10 tons(IIRC). The exterior looks similar, but the IIC is much broader, though the core concept of the mech is still there, twin PPCs with a missile launcher on the side.
A clan field refit of a captured IS mech and calling it a IIC is as off the mark as putting IS weapons on a clan mech and saying it is an IS mech. There are clan refits of captured IS mechs, or mothballed exodus SL mechs that just have new gear on it, and then there are new mechs that are based upon classic IS mechs, but produced 100% by the clans.
Someone asked why the clans would bother with refitting IS designs making what is effectively a 4th line mech. If you were looking at limited mech production, a long transit time, with a long campaign ahead of you, would you want to pick up the weapons of your enemy along with their amunition? Would you see if their food is something you can stomach? Would you look for resources that they stashed away? If you had units of theirs that could be repaired and armed with your superior weapons, would you bother with it or toss them away? I am sure even the proudest of the clammers would rather be piloting an IS design with clan weapons instead of riding the bench or being handed a rifle. If anything you can take a IIC design from your second line units and give it to the first line, then give the "C" to the 2nd line unit to replace the mech you took. It is a bump down, but its still being given a chance to fight.