It is obvious someone has already come up with this idea, but I want to raise this topic anyway.
Why do mid-tier basic items exist without being built of something weaker?
I am talking about items such as 
Chain Vest or 
Giant's Belt. Why are they bought in the shop just as they are instead of upgrading from something less expensive?
Let's discuss build paths:
Null-Magic Mantle -> 
Negatron Cloak
Long Sword -> 
Pickaxe -> 
B. F. Sword
Brawler's Gloves -> 
Cloak of Agility
Amplifying Tome -> 
Blasting Wand -> 
Needlessly Large Rod
Of course this leads to increase in upgrade stages, but makes the game a lot more smooth and logical when the greater is built from lesser. Everyone has experienced clumsy situations when you are pressed hard in lane and must buy something but lack 200 gold for it. You neither can wait in base nor go fighting because the enemy has bought B.F. and has a lead now.
Those advanced items which require the weakest basic items will still require them. But items like 
Infinity Edge will have extended build paths.
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P.S. Those templates. Using them first time.
