Maybe, but to me anything with the 24.75" scale and a humbucker is a LP "type". Many of the guitars you posted are both of those things.
Dime for example playing a Dean ML, was 24.75" and a humbucker. The Flying V is going to sound a little different but is the same exact specs and same pick ups as a LP or SG. And after you put a the guitars through a high gain amp is the tone from a V to an LP just hugely different?
Maybe I should really say Gibson specs vs Fender specs.
edit
Also if you are used to playing an LP then playing an ESP Eclipse, SG, V, Dean ML etc will feel natural.
If you are used to playing a strat then picking up a telecaster or EVH will feel natural.
Dime for example playing a Dean ML, was 24.75" and a humbucker. The Flying V is going to sound a little different but is the same exact specs and same pick ups as a LP or SG. And after you put a the guitars through a high gain amp is the tone from a V to an LP just hugely different?
Maybe I should really say Gibson specs vs Fender specs.
edit
Also if you are used to playing an LP then playing an ESP Eclipse, SG, V, Dean ML etc will feel natural.
If you are used to playing a strat then picking up a telecaster or EVH will feel natural.