Correct, to a greater or lesser extent.
I do not know what that means. There is no scientific measurement for 'richer'. However, if by that, you mean 'better', then that is purely subjective. Meaning that if you find it to sound better, then yay you. I would not expect the rest of the world to share that opinion, but I'm sure there are others who do, so you won't be alone. And there is nothing wrong with liking something that others don't.
You fail to understand some basic principles. This is not science, it's logic. You cannot retrieve missing data by recording, for example, an LP onto a cassette. YOU CANNOT DO IT. It's not science, it's math.
If I have a gallon of water and I pour it into a metal container, it is a gallon of water. if I pour it into a wooden container, it is a gallon of water. I may find that I prefer the taste of the water when dispensed from the wooden container; perhaps the wood gives it a particular flavor I like. That's fine, no one is telling you what you can and cannot like.
However, under no circumstances is it ever MORE than a gallon of water. It could even be somewhat less than a gallon of water, due to spillage during the transfer, etc. But it will NEVER be more than a gallon of water.
What you are saying is that dynamic range that is NOT PRESENT on an LP somehow magics itself onto a cassette when you record from the LP to the cassette. This is inventing water. It does not happen.
Nothing to do with specs - everything to do with math.
If it sounds 'richer' to you, then that's a great thing; everyone should listen to the things they prefer, the way they prefer to do it. It does not put missing dynamic range back into a recording.