Yikes man, the price difference would be pretty big motivating factor in itself.
$240 for the shilen match heavy barrel for the mini 14 from midway + the gunsmithing costs to install it.
vs.
~$100 for a strut.
Which is more accurate would be very hard to find out. The accu-strut has a proven improvement range of anywhere from 0-33% on the new mini 14's with the tapered barrel. The new barrel could (depending on dia, length, chamber, etc.) do better or worse depending on what your particular mini likes. Things like variation in the individual machine work, barrel oscillation or "barrel whip", the barrel's sweet spot, ammunition preferences, etc.
Personally, I would put a strut on it and call it good. However, your money and your rifle.
So if you really want that new barrel then have at it man!!