I think both Laver and Screaming Cat give a sharp crisp metallic voice while a TK bat in my experience gives more of a dull thud voice. The feeling also is much softer as compared to a laver or a sreaming cat.
All these bats go really well so it is interesting to know the differences in pressing techniques which makes them sound so different. I don't think Laver or Screaming cats are pressed hard just different.
Maybe it's because Julian taught James, so their pressing techniques are similar?

Although both Julian and Tim were taught by the same, so maybe it's just a batmaker's preference...

I like both TK and Laver bats, I have gotten on pretty well with TKs, which seem to open up quicker than Lavers.

That was my thinking, maybe slightly harder than TK. Thing is, the Lavers I had dented, so they definitely aren't overpressed. They do get better with time, or at least my experience with one has. My PB went pretty nicely from the start, but just keeps getting better. I did nickname it 'Planky' though, as it does have that metallic sound that most people are describing it as, but I can't really complain after about 8 net sessions of use.

Don't worry too much about your Laver sounding like that to start off with, just keep using it, and as Tim and Rob said, they take time to feel right, and mine is slowly getting there. Compared my PB with my brother's SR, which hasn't been used much, and the pitch on the SR was actually initially nicer IMO than the PB, but now it is the opposite. I would say give it another 6 net sessions, and it should feel much better then.