"Electric pianos that really sound like pianos are much rarer than cheesy-sounding keyboards, unfortunately..."

Very true. We bought a really good Technics digital piano about fifteen years ago though, and it was given the thumbs up by my then neighbour, who was a composer, pianist, arranger, choirmaster, and blagger of Steinways. I must say however that the harpsichord and string settings are distinctly cheesy, and the organ sound is closer to a fairground than a church.

So of course what happened - Technics gave up and now it's only Yamaha and Roland I think.