It would be misleading to say a couple of things regarding ‘random’ insertions and what scientists are actually claiming about ERV evidence.
A) ERVs are known to have preferred locations to insert. Here is another paper discussing such: https://academic.oup.com/nar/article/42/16/10209/2903314
B) it is never truly ‘random’ anyways because of biochemical reactions that obey certain rules and laws
C) there is a very different signature that ERV bombardment causes vs. inheritance through common descent. Even with preferential site integration, you might find <5% of ERVs in similar locations in the genome when ERV bombardment is the mechanism (see Yohn et al 2005).
You are perhaps claiming that all 200,000 ERVs have inserted in afterwards via preferential site selection. However the body of research on ERVs demonstrates that this is decisively not the case.
None of this though depends on any side argument of what is actually ‘random’ in nature, not is it something where we just throw up our hands and say ‘there are mysterious forces at work with ERV insertions, therefore God must have done it supernaturally.’ (Side note: if there are natural mechanisms that we understand, that doesn’t mean that God isn’t involved- otherwise God is now doing very little and hiding his activity at the nanoscale compared to hundreds of years ago where He was in charge of everything in nature).