I have run a lot of D&D for new and experienced players. There is an overwhelmingly strong tendency through every edition for characters with stronger stats to take on a 'starring role' because they are inherently more efficient, and in ways that do not require deep rules knowledge, creativity or ingenuity to capitalize upon.
For example, picture a party with 2 front line 2nd level PCs. One is a 14 strength Sword and board fighter that attacks at +4 for 1d8+2 damage (average 6.5 on a hit) and the other is a 20 strength barbarian that attacks at +7 at advantage for 2d6+7 damage (average 14) while raging. Against a 15 AC foe that fighter hits ~88% of the time while the sword and board hits 55% of the time. The barbarian out damages the fighter by about 300%.
This is a starring role in combat. It just is.
So how does that equate to the game revolving around the PC? The DM has to account for the disparity in design or else the fighter feels useless in combat. The DM may feel the need to use counterstrategies to keep the high ability score PC from just doing everything. If the DM doesn't step in and revolve the game around the power disparity, the other player just feels useless in combat. We don't necessarily want this to be the truth ... but it is.
It depends on how big the difference is. A fighter with a 20 strength and con is going so shine compared to a fighter with 14s. Even then, there are some players that are just more effective while playing their characters than others.