You should be good.
The 1AV series seems to be obsolete. Can not find a fully datasheet on that device, but "sinking" and 1mA seem fine.
Reason for the sensor needing a pull up resistor is to allow multiple devices to be connected together and only use one input. Resistor pulls the input high, but any sensor can pull the input line down. MACH 3, for example, allows for the X Y and Z to all be wired as Normally Open. When it homes it will see a closure and move back from X home, then repeat on Y, then on Z. In that case only one pull up resistor is needed. [This is shown with two sensors in Figure 5 of the C10 manual]
I do see a 2AV series datasheet, simple device:
http://sensing.honeywell.com/index.php?ci_id=50295