I studied the above links and:

the "hottest load" for the .44 magnum shows a 355 gr cast bullet at 1247 fps with 37,900 CUP's.

and

the "hottest load" for the .45 shows a 360 gr cast bullet at 1167 fps with only 29,800 CUP's.

These charts show the .44 as throwing a 355 gr. cast bullet 80 fps faster than the .45 throws a 360 gr. cast bullet. The trade-off is the .44 uses 8,100 more CUP's of pressure.

If you throw the .45 360 gr. cast bullet at the same 37,900 CUP's as the .44 uses, it would blow the .44 away in velocity. As someone has been saying over and over again and in different ways, physics is physics and doesn't change.

So who is "right or wrong" here? Both sides are correct. Until pressure is considered RELEVANT. Then the .45 wins.