Just for interest, if you assume the scope tube wall thickness are the same to prevent denting, a 30mm scope is 23% stronger in bending than a 1" scope.
However, one reason for the larger diameter scope tubes is to accommodate the current high zoom power change mechanisms. The 8x mechanism is not only larger but significantly heavier. Both more room for the power changes cams is required and significantly more robust internal structure must be provided for the mechanism.
It was also stated that a 50mm objective will be the same distance above the bore for either a 30mm or a 25mm scope. I take objection to that statement as the minimum distance above the bore is set by multiple constraints. The first mandatory requirement is the objective bell must clear the barrel. Similarly the eyepiece must clear the action as the action is cycled. With a large objective scope eye relieve can impact how far forward the maximum diameter/taper of the objective is with respect to the barrel (IE: If the scope is mounted further forward the taper on the scope and barrel can sometimes allow the scope to be mounted lower without contact.). And as mentioned access must be provided for loading.
In my case I like my scopes mounted as low a possible to obtain a good cheek weld to both lower perceived recoil and acquire the target more quickly. Once I have selected a scope (More on this in the next paragraph.), the process of selecting bases and rings starts. This can be quite tedious as as you first must establish what the minimum mounting height must be and then search the manufactures literature for what mounts/rings will meet that minimum. From my stash of previously used mounts/rings I can usually find a set that will accommodate a 1" scope. I mount the bases and lower half of the rings loosely. Using a 1" dowel or a smaller objective 1" scope, I build up the expected interference point for the objective AND eyepiece by wrapping blue tape smoothly around mockup until I obtain the correct diameters. Setting the taped mockup in the lower scope rings the action can be cycled to check eyepiece clearance and the objective clearance directly observed. If there is clearance it can be measured, if not the mockup can be shimmed up. From the data on the base/ring height and the measurement the minimum mounting height for the scope can be calculate and the appropriate mounts selected. At this point I agree this dimension is independent of scope tube diameter.
When trying to mount the scope as low a possible, the scope selection is critical. I will provide a couple of examples from my experience.
On my 300 Win plains game rifle I originally had a Swaro Z6I 30mm scope. This is a magnificent piece of glass but I did not pay attention to the eyepiece diameter when I purchased it. Because the red dot controls are in the eyepiece it is quite large in diameter and required fairly high rings to clear the rifle's bolt. That mounting did not provide a good cheek weld. I put the scope on one of my single shot rifles where the large eyepiece was not an issue. My replacement scope was a Zeiss Victory HT 30mm scope which had a MUCH smaller eyepiece. This allowed me to mount the scope over an eight of an inch lower than it had been with the Z6i. That does not sound like much, but it makes a significant difference in cheek weld.
On my Heym Martini Express rifle it has European styling included a classic laid down bolt handle. Because of this the bolt handle interferes at the root of the handle and not further out which is more common. In this case there are no bases as the mount dovetail is an integral part of the receiver. Therefore, the selection of rings was a bit limited. Doing quite a bit of research I found two CZ 550 front rings could be used on the Heym and Alaska Arm supplied their magnificent quick removable rings that provided about .050" clearance with the bolt handle root. No lower mounting would have been possible.