Similar thing happened to me with my last job (software dev). I applied and didn't get a response.
5 months (yes, nearly half a year) later they send me an email asking if I'm still looking for work. I told them I am still looking but I have to decline since given it took 5 months to respond, I have very low confidence in the company to treat its employees with respect nor do I have any reason to take them seriously. They sent back a very detailed nicely written apology and explained how there was a recruiting "scandal" in the company and the steps they took to correct it.
I gave them another chance, ended up accepting the position and I was at the company for more than 3 years.
5 months (yes, nearly half a year) later they send me an email asking if I'm still looking for work. I told them I am still looking but I have to decline since given it took 5 months to respond, I have very low confidence in the company to treat its employees with respect nor do I have any reason to take them seriously. They sent back a very detailed nicely written apology and explained how there was a recruiting "scandal" in the company and the steps they took to correct it.
I gave them another chance, ended up accepting the position and I was at the company for more than 3 years.