May near seeds in random number generation give similar random numbers?
What kind of simulation are you doing? 
For simulation purposes your argument is valid (depending on the type of simulation) but if you implement it in an environment other than simulation, then it could be easily hacked if it requires that there are security concerns of the environment based on the generated random numbers.
If you are simulating the outcome of a machine whether it is harmful to society or not then the outcome of your results will not be acceptable. It requires maximum randomness in every way possible and I would never trust your reasoning.
I'm using sequential seeds (1,2,3,4,...) for generation of random numbers in a simulation. Does the fact that the seeds are near each other make the generated pseudo-random numbers similar as well?
I think it doesn't change anything, but I'm using python
Edit: I have done some tests and the numbers don't look similar. But I'm afraid that the similarity cannot be noticed just by looking at the numbers. Is there any theoretical feature of random number generation that guarantees that different seeds give completely independent pseudo-random numbers?