I'd strongly suggest that you don't promote 'passive PoE' as being able to operate over 130 feet - that's very optimistic - especially with no specs on wire gauge in the cable or power load of the camera and its IR. People have seen problems with lengths of a few 10s of feet.
And what makes you believe it's "the most used solution to power most 12V Cameras" ?
I do not promote anything I only show examples of different existing methods to make him understand difference between all those PoE and so-called PoE.
But talking about it passive injection is no problem as you can use higher voltage power for example 24V and use a DC Buck provide only 12V to the camera, that's what I do for example to provide power to RasPi across passive PoE injection thru 150ft cable except that I use a 12V power suppply and then use a DC Buck (based on LM2596 or XL4005 for example) to lower voltage down to 5V so whenever only 9V reach the end of the cable it is still enought to provide 5V.
Also some cameras can work with lower than 12V so the PoE injection loss may not be a problem but there is also the Amps question especially if the camera uses IR LED.
The "cleanest" solution (with no "surprise") if you do not have 802.3 PoE camera complant is a 802.3 PoE transformer you connect at the end of the cable that can provide 12V from the 48V PoE as showed in my second example but it requires a PoE switch.