Can each side write an easy to understand explanation of their arguments here please? Afterwards I can probably ask a few other calc group members to help you out with evaluations.
Also, DaReaperMan, you still need to make an ongoing effort to be polite and respectful.
I will try to summarize.
How we currently measure Lifting Strength in Dungeons and Dragons is by using the math set up for it in 3rd edition/3.5e (3.5e being an updated version of 3rd edition, it has the same rules for our purposes). These rules give a graph that shows the "heavy load" of a character, meaning how much the character can lift without straining much (no impeded movement penalties or anything). It then goes a step further to lay down things like what a character could, say, push or pull, and also lays down rules regarding difficult terrain and larger sized creatures. It is because of these more advanced rules that we use the older rules for calculating Lifting Strength, which as far as I can tell is unanimously agreed upon, even by Anton.
The primary disagreements herein are threefold, I think. Firstly, we have whether to use 5e's rule clarification regarding carrying under strain being equal to pushing or pulling. Secondly, we have whether we should use their maximum values listed on the table, or take lesser values instead. Thirdly, we have whether pushing and pulling are even valid. The last point has largely been dropped by Anton by this junction, currently I was attempting to discuss the second point before the first. Forgive me if I am forgetting something.
I will explain the issues each in their own section.
The first issue is 5e's rule clarifications. As I mentioned prior, we do not use editions other than 3.5e to calculate carrying capacity of a character- we have agreed multiple times that it is the most accurate to the real world and the most detailed insofar as taking various issues into account. However, 5th edition makes a singular rule clarification that does not alter these calculations- in that you can somewhat lift the same weight you can push or pull. This lift is the maximum duress a character can take, and mechanically functions the same as pushing or pulling- it is purely a visual change in-game. You suffer a colossal movement penalty while struggling to carry such a mass, but it is possible.
The second issue is the maximum values thing. Anton feels we should avoid using the highest values stated that a character can lift, and instead choose their middle ground values. This is in part due to some argument over what "optimal conditions" are for the purposes of achieving the highest values. It has since been clarified that these conditions include smooth stone floors, making most agree that these are fair to use. The other issue Anton mentioned was a perceived tendency on VSBW to take "averages" rather than "peaks".
The final issue is essentially nullified as of right now but since it does get continuously brought up, I will elaborate regardless. Near the outset of this thread, there was disagreement over whether or not pushing or pulling could be used to get Lifting Strength. As has been mentioned by others, our rules clarify that they can indeed do that. The only discourse still surrounding this is the exact methodology of getting said LS. This point can be irrelevant depending on the outcome of point one. I will also note, though this isn't something I've spoken on, some have posited the notion that the 3.5e LS has already accounted for the friction coefficient (how Anton proposes we put this to math, should we go with his propositions) in the math, as it generally equates to the same values being used. That is to say, normal conditions achieving half of the LS of peak conditions (implying a drop in friction coefficient between the two) and yet further lowering it for worse conditions.
This is the argument as far as I understand it. I don't really think this is a Calc Group issue, since again, it comes down to interpreting rules of this specific verse rather than applying math- we have the math laid out for us.