I assumed the poster meant the SPS Tac, not the others. My "used" SPS Tac shot a best 4 shot group of .3 MOA with my custom loads (I did a major flinch on 5th shot), so yes it's a precision rifle (considering some $4000 custom rifles don't shoot that without the same precision load development). Most entry level "tactical" rifles can shoot half MOA or better with "precision" loading, and yes I do know what that is and how to do it

A precision shooter is someone who understands how to make their own precision rounds, ballistics, wind etc. It has nothing to do with your rifle's class. "Precision" to a SKS is not "precision" to a BR rifle but the same shooter can still be a precision shooter

Precision starts with you (mindset/abilities), then your equipment and shooting/loading practices (how OCD are you).
So, if you use precision loading principles (best bullet, load to bullet ogive, into/off the lands, etc, etc...), then you'll bring the best out of your rifle. Factory Sporter is a class of competitive precision shooting at many ranges, you should try it.
If your on a budget but have invested in "precision" loading equipment (this you will need); then you can make an entry tac shoot great. If you can get a $500 SPS Tac shooting .3 or .4 MOA, is the extra $3-4000 worth is to get down to .25 MOA? If you have the money, sure but if you don't, you can't go wrong with an SPS Tactical.
Aren't "precision shooting" and "Remington SPS" something of a contradiction in terms?
If you want to take up "precision shooting" you will be ditching the barrel and replacing it with a good one anyway, so the current round count does not matter.
If you are comfortable with the accuracy of a stock Remington, then you are not by definition a precision shooter and regardless of the round count you will be pleased with it.
Either way, if you like the price, buy it.