Yes, you can play Mozart on harpsichord.
Here is another little clip of extraordinaire harpsichordist Jean Rondeau. This is the Harpsichord Concerto in F minor by J. S. Bach's son J. C. Bach, the "London" Bach from whom Mozart first learned something about keyboard concertos.
This performance is the concerto as chamber music. They are almost playing it as if they wrote it.
And I think this is Rondeau's Rasputin hairstyle.
Love the Baroque bassoon!
This is from an album of a bunch of Bachs: J. S. and three of his sons. I don't actually think you could do that with any other family, not even the Couperins.
Holy $¿(R/ this is fast:
Ok, now I am officially a huge Jean Rondeau fan--because it was also really, really good!
I'm pretty sure that his hair is like that because to play like this you have to practice virtually every waking hour. I think that also explains the un-ironed shirt and why he often plays barefoot...