Nice strawman. It's been known for decades that endogenous retroviruses exist, and indeed, up to 7 or 8% of the entire human genome is derived from virus RNA or DNA. The argument has always been that the vaccine does not cause reverse transcription and integration, and indeed the study you are quoting only shows that integration can happen with COVID infection, not vaccination.

So if you don't want COVID integration in to your DNA, time to get vaccinated.