There are far too many variables to unequivocally answer the question of what or which is best for this that or the other.
Comparing one shooter with a particular setup to another, the same, is futile or at least difficult unless both tested on a machine rest, indoors, where all or most external factor are eliminated.
Are the short and long actions chambered in the same round? Normally a short round/short action, long to long....
Chamberings themselves have many variable, before you ream it into a barrel.. freebore, no freebore length of freebore, diameter of freebore, is it oversized to proj? undersized, length of proj to freebore, to bore.... will a relatively short proj cant while engaging rifling?...does it engage the rifling sufficiently before leaving the case?
rifling Leade angle, sharp or loooooong take up of rifling...
....and you havent left the neck of the case yet!!
Will a short case give a more consistent burn? But will a strong primer engulf the whole powder column and counter the consistency issue?
Are the accuracy advantages in the short target rounds mostly on account of the higher quality actions, barrel, reloading processes, projectiles and more consistent loadings?
On account of the action length,
A longer action compared to the same make in a short, will may less inherent stiffness (that you would probably never perceive with the naked eye when firing), Does the action have a small port or all of the top steel missing?? and the combination of the action and stock? more variables...
Does the action use a fixed bolt head or floating? -
Common Rem type fixed:
If the luggs are not perfectly aligned, bolt to action, concentrically along the centreline of the action, then there WILL be a moment generated with the impulse of the fired round. That means a
rotating force transmitted BY the bolt resulting in a sideways force at the back end of the bolt where it contacts the action. This force may be unpredictable in resulting action flex, stock flex barrel movement....
So what... you say?
a Longer action will result in a
reduced 'sideways' force compared to the shorter action.
If all absolutely aligned there is no twisting of the bolt shaft...
Or if the bolt face is
isolated from the bolt shaft, enter Savage. Within a tolerance of out-of-alignment; there will no twisting/rotating forces transmitted through the bolt to the action...
Then theres another big one; the taper of the case and its adhesion to the chamber wall upon firing.... this directly relates to the thrust and resulting actions through back through the bolt and action....
There is the barrel. Is it cut, buttoned or hammered, has it been fully stress relieved....
Has the chamber been cut to spec, bit tight bit loose...
So.....its difficult to answer which long or short is best....but once you've chosen your round, use an action length to suit, and no longer than necessary