Top, mid, and jungle can macro a victory on their own. ADC has to mechanically do so unless you're like Jinx or Tristana and really want to try that macro. Support better be great at multitasking, but their roaming and warding can decide games as well. All can technically win through mechanics and/or macro, but it's easier one way than the other for certain roles. It certainly doesn't make any role have an inherent advantage as much as it does the player and their own skill or knowledge.
Jungle feels prevalent because players don't normally respect a jungler exists in Silver 1 and get caught in precarious positions or faulty wave management. It is a very powerful role due to the potential impact that it can cause certainly, but Mid has access to the whole map as well with more stats than a jungler. Hence why normally your Mid-Jungle duo can roam the map best if your top laner isn't in an inherently good matchup. In this sense, Jungle counts as high impact because it can affect the whole map as a pivot, not necessarily always as a direct carry. As a pivot, you are still subject to the quality of your team to theirs, just that you have more autonomy over your decisions of pressure.
You'll play for top if you want to rotate around, it's a lot of macro. Say your jungler snowballs top but nobody rotates or goes for objectives. Then you're not very ahead and the enemy team has a larger chance of coming back. Not to mention, if you let an enemy top run rampant, the game hardly ends at 25 minutes unless your team is playing perfect. Their top is going to become a monstrosity that bullies your jungler and your top -- as well as forcibly pulls pressure to them while applying it. So, while a lot of the time it might seem the jungler has the most impact, it's really whose team knows how to pivot around their jungler or winning lane. This increases as you rise in elo.
Now, my highest is D4, so I can't speak for the highest echelons like D2+, but as you go up -- the jungler gains a lot more respect and their free ganking is severely reduced. It becomes a lot more macro and generally you want to support your win condition. This changes with each team composition and who you are up against, but the jungler has the highest influence on it as a pivot, alongside a lane that is considered the highest priority, or the objective which lane is nearest to.
Overall, the game is neatly (ideally) set in that mid, jungle, and top can be set by macroplay -- and bot can be set mechanically. But within all of that, the jungle has the opportunity to always apply pressure even when they're losing, and this allows them to pivot for any lane as a support for that lane to apply more pressure. Game is relatively complex to spell out, but a lot of it comes naturally when you've played enough.
tl;dr - Jungle is power pivot and thus technically has both high value pressure for a team and also less than you might think if your team doesn't know what to do with it. Mid can pivot best off of Jungle, so it usually handles right behind it as well as having high impact on pressure to open the map. Support and Top are in the same tier due to the ability not only to roam, but also pressure objectives and deep ward easier into enemy territory and provide TP pressure or backup at any point before becoming a powerful split pusher or ghosting carrier. ADC is ironically the lowest only due to lack of autonomy that requires peel and reliance on being fed. They cannot pressure alone without it, and thus are relegated to mechanically providing a win condition. In that sense, ADC is variable and can be the highest impact to the lowest. Probably why it is also the most difficult to balance.
Keep in mind, all the roles aren't linearly able to line up effectively. They have a lot of details and it is a team game. But in the best terms I can give you for an answer in a simple form (even though above is better for information), it would be: ADC > Jungle > Mid > Top/Support > ADC