Looking around online, some Wiegand readers don't have pull-ups
I suppose the idea was open collector and pull-up at input.
But when you want to see outputs at your reader just powered pull-ups inside help a little and as they don't interfere with anything...
I thought I'd linked it
You are right - it really have specified resistance.
I knew about standard PTC thermistors (with their characteristic simply temperature dependent) used as temperature detectors (self heating avoided).
I knew about PTCs used as fuse (with as small on resistance as possible). They have hysteresis (after trip they get higher permanent resistance).
I didn't knew about PTCs with some specified R25 resistance being also specified as fuses. They clearly claim in datasheet to have no hysteresis so are different from those PTC I use.
I use 0ZCJ0020FF2E - 0.2A/30V PTC. It has 0.6Ω before first trip and 2.5Ω after.
In linked by you PTF serie closest would be 0.34A/25V with 5Ω. It have to have higher R as have higher volume to be heated. I suppose these both are the same kind of devices but one sold before being trip and other with paying attention to get exact resistance after trip and intentionally tripped during manufacturing.
If you want them as fuse and you expect to never being trip in your device live cycle than you probably prefer 0.6Ω than 2.5Ω. But as my PTC is SMD so during reflow soldering... . But THT you are able to assemble without heating them over their trip temperature of about 80°C, I think.
The device I'm building is an interposer to retrofit on systems that are already using Wiegand
So something opposite to our Wiegand-RS485 bus interface. Our device is not simple converter as it can operate in our RS485 bus having up to 50 devices and no pulling. We try to connect Wiegand readers, you try to be visible as Wiegand reader

It's interesting that you had the pull-ups on your input
I think pull-ups at input are mandatory in Wiegand concept while in outputs are optional but never investigated it deeply.
I guess the easiest thing for me to do is just breadboard something like this and see how it behaves.
Simulation will be enough. It is really hard to build OC transistor output to not switch off in 1ms.