The difference between trinkets and boots is not every player used wards come late game. "Oh, I have full build? Can't buy wards, I guess." This was especially true in the era of "only the support buys wards." If I recall correctly, trinkets and the 3-per-player ward limit were added at the same time, which largely did away with that meta; trinkets were created to relieve supports of having to do all the warding.
Now, what does introducing a "boot slot" do? It lets you fit an extra item in your inventory. This is... meaningless early game. Mid-game, it might let you keep an extra unfinished item in there, maybe get some wards you wouldn't have gotten otherwise. Late, it's just a massive powerspike. Do you really want to see ADCs with IE/Shiv/Bork/BT/LW/GA and greaves too? Or APs with Morello/Deathcap/DFG/Zhonyas/VS/GA and sorc shoes? Or for our more risky players, replacing the GAs on either of them with a scimitar or rylai's/liandry's. Then there's the Bork/Triforce/Randuins/Visage/FH/Sunfire bruisers with mercs, doing craptons of damage while still being pretty tanky. Currently, there is a choice you have to make between doing more damage verses being safe. An ADC with a core of IE/Shiv/LW/Greaves can get two of Bork, BT, and GA, but not all three. If they want to melt tanks, they take Bork. If they want to murder squishies, they take BT. If they want to not die to an assassin, they take GA, and choose to murder one type of enemy a bit more softly; you can't murder everything and still not die to assassins. But, with an extra slot, you could. All this change does is promote everyone doing more damage lategame, while still retaining all their (relative) safety. In effect, this change would reduce meaningful choices, something that goes opposite to riot's design philosophy.