I'm not super familiar with the 1719 series, but I'd take guess that both these inputs are "dry contact" type, e.g. a pushbutton switch, rather than e.g. a three-wire PE sensor or proximity sensor?
Open Wire fault is likely a feature designed to be able to tell the difference between "the proximity switch does not see an object and is therefore sending a 0 signal" and "someone has run into the proximity switch with a forklift and smashed the plug off the back, you have no proximity switch connected to your input any more."
Likewise, short circuit is likely trying to tell the difference between "your proximity sensor sees an object and is therefore sending a 1 signal" and "someone has run into the proximity switch with a forklift and your electrician has bridged out the input to get the machine up and running again, I now have short circuit between 24V and the input, instead of the proximity sensor I should have".
Of course, a pushbutton or switch is nothing more or less than an open wire or a short circuit, and so these diagnostics are of no real benefit to you. I'd be surprised if you couldn't disable those diagnostic features, if not at each individual point then at least at the whole card level. If you can disable them per point, you can just turn off the ones that don't have a suitable sensor connected to them, and retain the ones that do, to make use of that diagnostic feature.