Math's Arbitrary Non-Necessary Necessarily-Disconnected Conventional Link to Reality

Your decision to write in a language of your own invention makes your point unnecessarily obscure.However, in plain English we may note that it is trivially the case that the proposition that a mathematical structure forms a good model for some aspect of reality is necessarily a scientific theory to be confirmed or disconfirmed by observation and experiment; a question which is extrinsic to the mathematics as such.Whether or not you find this observation helpful depends, of course, on what the heck it is that you're talking about.

No. The relationship between math and reality isn't conventional, it's discovered. The fact that two apples plus three apples is five apples isn't a mere social agreement like driving on the right. The isomorphism between reality and the structure of the natural numbers actually exists.

"My uncle thinks he's a chicken.""Have you taken him to see a psychiatrist?""Well, we would ... but we need the eggs."

We did tell you about it. I told you about it.The mathematical system of the natural numbers is a mathematical system. If you wish to use it as a model of reality then you should first ascertain empirically that it is indeed a model of the aspect of reality to which you wished to apply it.As it is, your complaint is as meaningful as if you bought a lawnmower, tried to use it as a suppository, and now you're writing to the lawnmower manufacturer complaining that their lawnmower hurt when you tried to stick it up your ass. Well yeah, that'll happen. But the manufacturers didn't market it as a suppository. It's not their fault if you are nutty enough to use it in a way that they never intended. It's yours. It is not a "little glich" in the lawnmower about which the manufacturers should have warned you. Doubtless they would have warned you if they'd realized that anyone in the whole world would be so stupid as to try to cram the lawnmower up his ass. In that case, they would have avoided liability by putting a big warning label on the lawnmower saying NOT TO BE USED AS A SUPOSITORY. But who would believe that anyone in the world would be that stupid?