What makes tape sound better than vinyl ?

Huh? You were the one generalizing and preaching about how tape was used for compression. Which in itself is pretty dumb since almost all great recordings in History were recorded on, you guessed it, tape. I was just responding to the ignorant thing you said, which was itself off topic. Tape is a natural medium. It breathes. That’s why the OP reported the tape copy sometimes sounds better than the vinyl original. Case closed.

"Maxell Vertex tape"

Inna- memory is letting me down. The glory days transferring a fresh from the bin record- recorded to premium cassette for the car, seem like yesterday.

I used most of the popular brands including Maxell. Don’t remember Vertex? is it a chrome or metal? Memory recalls a really well recorded album on regular tape was just as good as the "expensive" cassettes. I knew a few audio guys that were obsessive with making the best recordings for their just introduced "high end car audio" Playing a store bought album on cassette was a crime.

1979/80-hearing a trunk full of Fosgate amps and electronic crossovers feeding drivers in the rear deck and doors changed my idea of amazing sound in a car.

Hearing Floyd "DSOM"/Springsteen "Darkness" AND feeling it was an experience equal to a nice home system.

Its impossible to get audiophile sound from a car system.

Maxell Metal Vertex is the very best cassette tape, and my deck is not even specifically calibrated for it.
I'll get Otari or Studer open reel deck in time and then the turntable, any turntable, will not sound better in any aspect. I will also be able to play master tape dubs if I can find them. 
Yes, I too think the resonances in vinyl playback is a big factor, but I suspect it's not the whole story.

Its impossible to get audiophile sound from a car system

True, but you can Audiomobile sound..close enough.