My parents stop looking for future husbands as I live in my own apartment

Salam aleykum,

I feel a bit lost. 2 years ago, I had to flee my parent's house as the situation was critical. I took my own apartment, I work and despite the past I visit them every week. My parents are not ok with me having a life out of the house. They let my little sister go study abroad, but they don't accept my situation because of the reason I moved. The fact is, my father said they would stop looking for someone for me because I live alone. According to their experience, it's really problematic for a pious man to know her future wife already lives on her own. Plus it would be a shame for them to say I live alone. What do you think? Are they right? What should I do? Baraka allahu fikum in advance for your answers