As I said in an earlier post, I am trying to avoid going down the temperaments discussion, but no, this is not necessarily a good thing since it will almost certainly give you the 'correct' tuning for playing in 'equal temperament', which is OK if you are a piano, or other fixed pitch instrument. It is not OK if you are a woodwind, string, or brass player, or a vocalist.... From a players perspective this is a good thing I think.
As other have said, use a meter to check the basic tuning of the instrument, but it will not be very helpful for 'tuning' as you're playing.
Temperaments are simple and complex at the same time. The concept is relatively simple, the solutions are very complex partly because ultimately there is no 'right' answer (it's a problem that ultimately has no real solution that works for all keys). Equal temperament is a compromise, and is used by pianos etc. It enables playing more-or-less in tune in all keys but it is slightly out-of-tune most of the time. Your meter will almost certainly default to ET and to concert A = 440Hz.
In the table below, 12TET is 'twelve tone equal temperament' i.e. the tuning we tend to use. The right hand column is the one to look at. It shows the tuning error using ET from 'just' intonation given in cents. A cent in this case being 1/100th of a semitone (an octave being 1,200 cents). The only interval in tune is the octave. The fifth is close but very slightly narrow - enough to get a beat. The third though is the killer - it is significantly out-of-tune, as is its reciprocal the sixth.
Table is from this article on Wiki.
I hope that helps.
