There are two different theories here about the cause of "differences in DNA sequence." MUTATIONS are not responsible for them, BUILT-IN NATURALLY OCCURRING ALLELES, or differences in DNA sequence, are responsible for them.
It seems that Dr A is being a bit unclear to you.
It is a known fact that mutations occur and create differences in the DNA sequences from parents to offspring. You, yourself, have a number of them. Every human born does. (well, I suppose it isn't statistically impossible that someone could be born without them it is just very, very, very unlikely).
That means there re billions and billions of new mutations every generation. They have been measured. They are a fact. You can make all the unsupported assertions that you want but the facts simply will not go away.
I'll help you with your argument: we haven't measured every human so how can we know this is a fact? The answer is that whenever we do measure they are there. The answer is that the nature of replication produces these changes. The answer is there is no reason to think otherwise. When you supply one then it can be considered.