Gents,
firstly Les, I'm not sure I quite follow your 27 Jun 2020, 12:35 post, but if I remember correctly, sir Isaac taught us that kinetic energy = ½mv², and that F = ma. Anyway, if you cannot find specs, the geometry could also be measured. And specs appear to be not always completely accurate or correct. And finally, yes, try it without to feel the difference (if any).
Then indeed, ta Blurredman for all that effort to confirm that indeed an 18" wheel will only fit properly with a very small tyre size. You fitted a 3.00" tyre, which gave you 0.5" clearance to the front brace, with the wheel in the middle of the adjustment range.
Tyres in imperial sizes are normally 100% in height, meaning they are as high as they are wide. This is particularly so for the relatively small sizes, but for bigger sizes (>5") not so much, those are less high. Anyway, it means that if you would fit a 3.50" tyre, it would sort of rub that brace, with the wheel mid-way in the adjustment. And would give about 0.25" clearance below the wheel, when on the centre stand. But: a 18"x3.00" tyre will fit & work well, with some possible limitation on the adjustment range. Note that Eric Frith fitted a similar tire after moving that brace forward:

- 21.08.17 003.jpg (59.81 KiB) Viewed 1698 times
The standard tyre is a 16"x3.25", so a 18"x3.00" will raise the back by 0.75", given the wheelbase, the difference in steering angle & trail is easily calculated.
One thing I'm not sure you tested is what happens when the shocks reach the end of their travel. The top of the tyre will then also come 0.75" further up. It may fit, they probably gave it quite some clearance, it may not, certainly not if a bigger tyre were used, like so: Image
See the wood below the centre stand & that the tyre is not quite properly centred around the wheel axle, as it can't go farther forward. OK, it's an 18"x4.50".
Anyway, that is something that also needs to be tested (by taking off the springs & bump rubber). At the time I eyeballed it, and I didn't think it would fit with a meaningful tyre (and no, that is not the 4.5" one). Also, I believe the shocks for the 250 are 20mm longer (in fully compressed length) than those for the 251. So you may have to fit those taller shocks, and add their extra height (x the linkage ratio) to the previous 0.75" for the new geometry.
Ta for your measurements of wheelbase & where the swingarm spindle sits. Your wheelbase for the 251 = 52.5" = 133.5cm = pretty close to my 134cm with the wheel nearer the end of the range.
So the 250 = 54.75" = 139cm is some 5.5cm longer. Of which 1.5" = 3.8cm in the frame, and 0.75" = 1.9cm in the swingarm - great measurements, very useful! But I can't remember having said that 'it's all about the swingarm length and subframe', I think I said "the spine of the frame (which runs below the tank) being longer on the 250". And indeed, apparently 3.8cm.
One question I would still have, wrt the comparison 250/251, is if it is indeed correct that the yokes / triple clamps are different? Only that could explain the difference in trail. According to their specs, the stanchions on the 251 should be 17mm further forward... Or just an error in the specs?
Finally Les, no, I do not think you can/should fit shorter shocks, I think if anything you'd need taller shocks for reasons outlined above. Also, note that if you would fit a longer 250 swingarm, the bottom shock mounting point would be further back (probably by about 1.9cm), changing the shock's angle & linkage ratio. A bit, not much, but I think it would require calculation. Of course the upper mounting point on the 250 frame might also be different. And with the wheel 1.9cm back, and 0.75" bigger in radius, it might no longer fit inside the standard mudguard.