To assume: To suppose as a fact.
When you build a theory, you suppose certain things as "facts" : as in, let's suppose that the murderer used a gun, what should we be able to find as evidence?
"Isn't it wrong to assume that..."
ALL theories, whether in science, crime solving, religion or whatever else, begin with the statement: let's suppose that things happened this way, what should come next.
Therefore it cannot be wrong to assume that there was only one event that led to the Big Bang -- the "Big Bang" is the expansion of space, not an initial event (like an explosion) that led to the expansion.
It also is not wrong to assume that there were two, or five or 397. However, you would find it very difficult to establish what evidence you would be able to find that leads you to convince others of that.
In science, a theory is either useful, less useful or not useful at all (in the last case, it is usually dropped).
As far as our Observable Universe is concerned (including all its particles, virtual or not), everything can be explained in a useful way, using only one expansion. In fact, if the Observable Universe (the only one we can analyze, by the way) were the result of more than one "Big Bang" process, then we would observe discontinuities in the physical laws governing it (for example, different sets of elementary particle in different parts), and we do not observe that.
The Observable Universe behaves AS IF the whole thing followed one set of rules. So, for now, "assuming" that there is only one Big Bang is still a useful approach.