I tested my O2 sensor many times and it always showed the correct resistance. Until it failed completely. But when you test it it's cold. The popular (and perfectly plausible) theory is that the resistor gets hot and this changes its resistance, takes it out of the acceptable range and triggers the light. Eventually these heat cycles kill the resistor completely and it goes open-circuit.
The fact that you have had several bypasses give the same warning is simply an indication that Dobeck aren't providing you with one that has a resistor with a high enough power rating. Did yours fail completely or simply show the FI light and then return to normal resistance again?
The colder weather now is probably helping your bypass keep cool enough to continue working - it's a marginal issue by all accounts.
I've done a couple of thousand miles since fixing the bypass myself (with a higher-wattage resistor) and the light has not reappeared once. And I'm sure it never will. But I still have the code stored in the ECU. Sure, the US and Euro ECUs are slightly different but only in that they're loaded with a different map - I can think of no reason why Suzuki would design in different fault reporting for different markets - that would make no sense.
I have now been through 4 different O2 bypasses and now I am told that the last two seem to work on new owners.......... But to have 4 resisters fail quickly is unlikly.
Clearly your resistors haven't failed if other people have used your old bypasses. Sure, they've heated up and changed resistance enough to throw the FI light up but they haven't failed completely. You've pointed out that the fault only comes up under certain conditions (engine revs, ambient temperature, light throttle) so maybe these other people just haven't experienced those conditions yet. Maybe they never will.
Believe what you will, but check the manual - the FI light indicates a current fault. No light = no current fault. The light does not report historical faults. And in reference to your mention of the R1 and GSXR, well, we're talking about a Bandit with a completely different ECU so that comparison is irrelevant. You might as well compare it with the ECU in a Ford.
I suspect that the only way you'll believe me is to get your ECU memory cleared with SDS and then ride through another summer. Your light will still come on under the same conditions despite the fact that there's nothing stored, and then you'll realise that I and the other people who've said the same thing on various threads are right
And then you'll go out and spend 20 cents on a resistor, fix the problem yourself, and never see the light again.