You are getting into complicated Physics of the basic particles of matter. Before we go down this 'rabbit hole' where you apparently do not understand the basics of particle physics and Quantum Mechanics what is your purpose of this line of reasoning?????
You proposed a a cloud of particles which is inaccurate, and it is not cloud like. No. they do not normally meet. Your line of reasoning is getting confusing, The positron is an electron with a positive charge If they collide, annihilation occurs, which is a very very rare occurrence.
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Although gamma radiation is part of the result when electrons and positrons annihilate each other, they are not the same. Even their nature differs from each other.
Positrons are the quanta of positron decay and the antimatter of electrons. Gamma radiation is an electromagnetic wave with a frequency higher than Hertz.
No, confusing statement. See above.