If you are fine in p95/ibt, you would be fine in anything. Also LinX shouldn't take long to find stability. I would say less than an hr and you will find true stability.
You really can't make blanket statement assertions like that, they are patently untrue.
There are over 700 instructions in the ISA, each one has its own sensitivity to voltages and temperatures, as well as sequencing of use.
IBT/LinX/P95 test a very small instruction subset of entire ISA. At best you can only conclude that those handful of instructions are stable, but you have no idea if the other instructions are stable at your rig's voltage and peak temperatures.
Like the OP, I too have a program that is not stable at temps/volts for which my rig is otherwise stable with LinX. It is Gaussian, a computational chemistry program, but it costs a bit of money (~$1k for the windows license) and so I would never recommend people use it instead of a free program like LinX.
The only way anyone can claim their rig is truly stable at a given Vcc and peak operating temperature is for them to create a program that tested each and every instruction in the ISA multiple times while simultaneously holding that CPU right near TJmax. The programs exist but they are not free (nor are they purchasable as neither Intel nor AMD are inclined to divulge their validation IP).
So until some geeks create such a test suite, and free at that, we are left with using power-viruses like OCCT and IBT for seeing if our OC's are unstable...but we can't actually use them to prove/verify that our OC's are stable.