Accuracy

you are getting into paralax and shift issues...

an adjustable paralax scope will be more accurate than a scope that is pre-set at the factory, if you are shooting at a range other than the pre-set (depending on specifics, most pre-sets are 150-200 yards or so).

shift is when you turn the power ring up, the scope actually isn't looking precisely where it was at the other power setting.

the short answer is yes, a scope can be directly related to accuracy, and it is sometimes why a shooter will claim that putting a zeiss/leupold/whateverexpensive improved the rifle's accuracy... (when in reality, it did nothing for the rifle's accuracy, but now the scope is looking at the same spot for every shot).

so then, it follows that a scope can be held resposnsible for some degree of accuracy. the lower end scopes have pretty serious issues w/ shift. eg, have you ever sighted in from the bench at 9x, and then came back later to get a little practice in at 3x and wound up twisting knobs??

all scopes have troubles w/ paralax. the adj obj scopes were supposed to be an answer for this, but many lower end scopes have a hard time truly adjusting paralax, so an adj paralax isn't necessarily the answer.

ok, your specific question... get a nightforce or us optics, and all your scope questions will be answered in regards to clarity, tracking, paralax, repeatability, shift, etc... in hunting applications, those scopes aren't ideal, so everything becomes a compromise. weight, price, eye relief, glass quality, etc etc etc. so, ya pick your compromise.

leupold, zeiss, nikon, etc have scopes that minimize as much as possible the 'bad' variables and still offer excellent optical qualities.

I've used fixed power 4x cheap scopes for decades and shot a lot of deer at less than 100 yards with them in the woods. This past fall I purchased a Leupold vari-Xlll  3.5- 9x [illuminated reticle] and WOW, what a difference. Noticeably tighter grouping with factory ammo when sighting in. The brightness is more than I can truely appreciate, and the illuminated reticle....well let me just say that it can take you into the definite no-no time at the end of the day and still have cababilities beyond what your conscience will stand for.