I've had no adverse experiences with the T3, I own four, a 300WM Tactical 0.4 moa, 2 6mm Dashers 0.5moa (still working on those) and a 223 Varmint (one ragged hole at 100m on a good day. Ive got old eyes and just an average marksman so I need all the help I can get.
The stock barreled rifles are loaded to magazine length or long enough to seat the bullet to the base of the neck, the proprietary 'forcing cone' on the T3 precludes fiddling with COL lengths in either direction.
The factory trigger is 'target grade' in function and even more so with a YoDave spring set where you like it (1.1# for me).
The factory stock fits the action very precisely, no need to bed action, barrels are already free floated.
The 'wimpy' recoil lug is part of a 'return to battery' system. Replacing it with a R 700 style just negates this engineering marvel.
The heavy barrel models are lapped at the factory and are at least equal to most aftermarket barrels.
I prefer the smaller ejection port as this adds to the receiver rigidity, I have no issues single loading and extracting at the bench.
The rifle is well engineered for purpose, 21st century accuracy, few parts and machining operations.
The 2 Dashers have traditionally chambered/throated barrels , so I seat bullets 10-15 thou off the lands or jammed ~0.010".
I find these are a bargain for my purposes, action and trigger group ~$800, aftermarket ~$1600. They are slow to load single shot bench rest style but that is the only downside I have.
Remingtons among others require the expertise of a 'smith and aftermarket parts to bring them up to the standard of a stock T3 action and trigger group. This cost can go as high as custom action/trigger group.
The mechanics of the T3 are fairly simple. eg: to install the stock run the screws in ,tap but on floor, torque to 35 in/lbs fire a few check torque adjust if necessary. I interchange stocks of the 4 that I have with no loss in performance or time fiddling with bedding or torque values.
At last years 1000 yard shoot one of the most accurate rifles was a T3 original trigger and stock , 6 Dasher, #6 Benchmark, 0.2-0.3 moa, <10# all up.
Tikka was chosen for the replacement of the 303 for our northern forces, I am sure they were tested in all climatic conditions that part of the world has to offer.
Once the engineering of these is understood , they make a lot of sense, both for accuracy and economy.
Aesthetically, that is in the eye of the beerholder.
For hunting I prefer a Sako M-85 due to the ability to magazine load, top load or top up the magazine. Very beneficial if you find yourself knee deep in a target rich environment.