I ran into the exact same dilemma. Two guys… one is huge and is a tank build… viking, 6’6" tall and 280lbs kind of big. The other is 6’ tall and raised as a lumberjack type. Both are strong as a result so both of them put stats into strength and both had +3 strength at the startup. On paper and in the game… they are the same but actually they are not the same at all. A 100lb person that can lift half their body weight can lift 50lbs. A person that is 300lbs and can lift half their body weight can lift 150lbs. And yet… statistically they can both lift 50%. Same but not the same. My fix with regarding skills was to allow the players to add any skill they can come up with and start them at +1 each. Cooking (int), swimming (Dex), horse riding (Dex), astrology (Int), First aid (wis) and so on. I also created an xp level up system. Skills can level up to a max of 3 and traits such as Strength, Intelligence, Wisdom max out at 5. When you are doing something… if you have a skill that is related… you add your skill level to the appropriate trait level for a max possible of 8. With this in place, players fine tuned their players a bit further. A powerful character like mentioned could then have a skill such as powerlifting and as such… add +3 max powerlifting to their max trait of strength and have a +8 total while the other guy might be max strength +5 but that’s it.
I suspect it’s because of this that in the 70’s the skills were created as were all the other charts. Players kept saying things like “how can my halfling have the same strength stat as my huge half orc barbarian?” and they are right… how?
I know that as a player, even if I’m not a thief and I’m a wizard… I still might like to try my hand at disarming a trap one day and if my stat is the same as the rogues… why not right? But… if the rogue has lock pick as a skill and it’s under agility… they can level up to +8 but the wizard would probably be spending their level up points in magic or constitution for more HP’s and not lock picking. It’s over time through the level up’s and skills that the players start to evolve into their classes.