I think we need to agree on some basics in this conversation.
1. The Bears OL is bad. They need to upgrade as much of it as possible.
2. Jenkins is the best OL. They should keep him and start him.
3. Jones is this regime's pet. He was handed the job before camp and hasn't had to share reps or look over his shoulder for a backup to take his job. He's likely going to start.
That leaves 3 positions to upgrade. C, LG, RT. Nobody is arguing that RT doesn't need a really good player there. So, it comes down to LG and C.
I know EVERYONE wants to upgrade Center. But EVERYONE is basing that desire on Sam Mustipher playing all but 10 snaps there the last 2 years. And on how Lucas Patrick looked at LG. The Bears, who brought Patrick in to play C, aren't going to say, "well, he didn't play that well at LG, so I don't think he will play well at C". They moved him to C after he was playing poorly at LG.
So essentially, do you upgrade both C and LG? Or do you upgrade one or the other? I think you clearly upgrade 1 of them, then you set up the other to be upgraded in the long-term. You also have to compare the actual ability to upgrade LG vs. C. If you seek to upgrade C, you have 31 options to upgrade in free agency. Not all 31 of those options will be available. If you seek to upgrade LG, you have 64 starting guards in the league. You also have 64 starting tackles, who could be moved to guard (Elgton Jenkins for example is listed as a FA OT). There's many more available options to upgrade the guard position. Draft is the same way. You draft a C, 9x out of 10, it's going to be a guy who played C in college. You can draft a guy for LG who played LT in college as the best lineman on his team, but maybe has short arms or a weak kickstep.
So, now you have to compare Whitehair and Patrick as players. Whitehair is probably the better player. At LG, Whitehair has been better. But he's shown he can't play C (argue if you want, but the fact is 2 different regimes have not move him back there despite it being the worst C position in the league for 2 years). So, Patrick gets the edge in versatility. He gets the regime's preference as he was the 1st player they added to this roster. And maybe most importantly, he has the MUCH lower salary.
I know it's probably not best to assume Patrick is set in stone, but it's pretty clear to see a path that keeps him on this team moreso than Whitehair, if the goal is to upgrade at least 2 starters on the OL.
Guys like Leatherwood and Ja'Tyre Carter are NON factors. You can't watch a full year of your offense not be able to execute a regular drop back pass with consistency and throw in a 6th round pick from an FCS school or a failed 1st round pick in there and think you upgraded the OL. They are lottery tickets. If they make the team, great. If they are good enough to actually start some games, even better. But they should be treated as if they are going to be camp/depth bodies until they prove otherwise.