The least likely guitar to screw up tuning or intonation is (still) ,IMO, the humble Telecaster because there is nothing which moves,per se, the bridge is most solidly fixed and although i prefer strung through, mexican made Teles can be very nice.
This is closely followed by a Gibson or good copy, but when you change the strings with a stop tailpeice you can alter the intonation (saddles can be inadvertantly moved,etc) this applies more so on copies.
Cheaper Strat copies Fogetdabout using the tremelo.
Accuracy,you say? hmm interesting concept..