I've definitely heard stories of people saying GoDaddy grabbed their domain right after they searched it. There's almost always someone following those stories saying that it was just coincidental.
I have zero trust in GoDaddy. I remember when I was kid using their service because my grandparents had bought a website and hosting services through them and they wanted me to create the site. Their interface was so confusing and I felt like I suddenly had no understanding of how computers work.
Fast forward to today, and yes, past me was not very knowledgeable, but not to the degree their site made me feel. They use custom terminology for industry standard things, group things together in weird locations, and have so many dark patterns.
My point: sleazy tactics like domain front-running would honestly be on brand. I tell people not to use GoDaddy and definitely not for domain searching.