Is higher count better?
Absolutely not. It is a measure of error. You want this value to be as low as possible.
Just a clarification....
When talking about 'count' in the context of accuracy - the above applies.
However, when talking about the general capabilities of a digital meter, 'count' is also used to describe the resolution of that meter. For example, the EEVblog BM235 is described as a '6,000 count' meter - because it can display numbers from 0000 to 6000 (you ignore decimal points in this assessment). Just think of the display as being that of a decimal counter and you can see where the term comes from. (This is actually closer to the truth than you might think - because of the basic operation an ADC.)
Obviously, a meter with 60,000 count has better resolution than one with 6,000 - so, in this assessment, the higher the count, the better the resolution. Be aware, though, that - although it is usual - higher
resolution does not
necessarily translate into higher
accuracy.