Yes, to a certain degree. A beat up piano in poor state of regulation is just that.
For pianos in a reasonable state of repair, the higher quality pianos or instruments with very thorough prep will generally be far superior to value price pianos or ones that are presented as stock right off the factory floor.
A lot of this stuff really has to be experienced to fully understand it. What lostinidlewonder said, go visit a dealer that has some higher end instruments. There is also the involvement and skill of a player, as some qualities of a piano are better experienced when one has the skill to make use of that particular quality.
The action of grand pianos is much more responsive due to its design, and is therefore preferable for pianists playing at advanced levels.
The piano I played when growing up wasn't really designed for advanced repertoire, so I found practising some things very frustrating. However, because of that experience I also gained a much better appreciation and understanding of the desirable traits of a good piano, as well as how to adapt when I am presented with a piano in a poor state or repair.