I never realised that the maximum pressure warnings were there to prevent tyres blowing off the rim - I'd always assumed it was something to do with the strength of the rim, which might fail under high pressure, like they do when the brake tracks become very worn.
in fairness both things can be true.
Regarding the (tyre pressure) stresses in worn rims, I recently did some (not very hard) sums and calculated the effect on stresses in the rim as the rim wears. If you assume that the rim is definitely OK (at the rated tyre pressure) if the braking surfaces are 1.0mm thickness, the stresses
double (vs 1.0mm thickness) once the rim is worn to 0.8mm and
triple (vs. 1.0mm thickness) once the rim is worn to 0.7mm. So things can go bad very quickly. Obviously it only takes one thin area on the rim to allow a failure to occur.
I don't know the answer re your tyres and your kinlin rims for sure. I'd hope that the hooks (which are bigger than on many tubeless rims) are able to retain most tyres well provided they are fitted with tubes. Regarding the rim stresses arising from tyre pressure, this varies with both tyre pressure and tyre section. Thus (to a first approximation) the load on the rim goes with the product of tyre section width and tyre pressure. So a 25mm tyre @ 100psi is likely to load the rim similarly to a 50mm tyre at 50psi.
Tyres can just blow off the rim at very high pressure, but (excepting that the tyre structure itself can fail too) mostly they come off the rim because the loadings between the tyre and the rim change in some way. The changes can arise variously, eg.
1) the tyre is unstable w.r.t. perturbations. In other words should the bead start to crawl up the rim in one place, that'll be where it moves again; the loads become even higher in that area once the tyre moves. This is how tyres can blow off hookless rims (tubed or not). This imposes high loads in the tyre bead; some beads are stretchy enough to let the tyre escape, in other cases the tyre is badly fitting/fitted, and part of the tyre bead is in the rim well; this allows enough easy movement to allow enough slack for the tyre to crawl off the rim more easily.
2) changes in friction. The tyre is at least partly held in place (or at least prevented from moving around) by friction. As I mentioned upthread, mould release compound is an effective lubricant and some types just melt when the rim get hot. I have also seen tyres move around when they shouldn't if they are contaminated with chain lube, talc, you name it. It is possible that liquid sealant can act as a lubricant (between the tyre bead and the rim edge) in some cases. If the 'lubricant' (whatever it is) is able to move around the tyre may be secure one minute and then blow off the next.
3) changes in loading. Tubes push the tyre bead into rim hooks and this helps to retain the tyre. [If you are interested, read up on 'Clincher' brand tyres; these had no reinforced bead at all, just a rubber lip moulded into the edge of the tyre; pressure from the tube forced these lips into a deep 'clincher' rim lip and this retained the tyre. These tyres were used on bicycles, motor cycles and cars. The tyre was
only well retained when the pressure was high. For example a 2.5" motorbike tyre might only be secure at 60psi or more; deflation to (say) 45psi could allow the tyre to come off the rim without warning. There has been at least one death of a vintage motorcycle enthusiast in recent years because of this exact thing.] With most tubed HP tyres the retaining force goes pro-rate with the pressure and this is fine; the tyre is usually flopping around hopelessly before it is in danger of coming off the rim because it is no longer well retained. However tubeless tyres can seal at the tyre bead lip (in which case the hook bead works in your favour as normal) or at the rim lip (in which case it doesn't; there is no force pushing the tyre bead into the hook any more). If the seal location changes (all it takes is a slight difference in the leak rate at the two locations) then a tyre that appeared to be secure on the rim may suddenly turn into one that isn't at all secure. I believe that this explains many of the occurrences reported in the OTBP link I posted upthread.
Apologies for the length of some of my posts. Unfortunately rims and tyres are not such simple things as folk would hope/suppose. You have a choice; you want to stay uninformed? Don't bother reading/inwardly digesting then. Quite a few people obviously haven't bothered to and confine themselves to making fatuous and inaccurate comments about things they have not read and/or don't understand. Great. Very useful.