Shows vs. suggests: Is there a substantive difference? Research is sometimes described as “showing” or “suggesting” a result.

Is there any substantive or objective difference between the two descriptions?

One example is here, in this answer it is said economic research “shows”, which seems intuitively less appropriate to me, but maybe that’s not true:
https://skeptics.stackexchange.com/a/600/38455
This is what my take on these two words.

"Shows" refers to "It is true" i.e. the conclusion follows from the evidence with probability of 1. For example, the results obtained in this study 'shows' whenever x is increased, y is decreased by 2.78. Therefore, we conclude that...

"Suggests" refers to "It is highly likely to be true" i.e. the conclusion is not certain to be followed from the evidence. For example, our study suggests an increase in parameter x results in y decreasing by 2.78. Since the present study is constrained in the domain of the parameters x and y, it could be concluded that ...