A red laser is going to be tougher and harder to break than a green laser.

All consumer green lasers today are "DPSS" types, meaning they contain magical and delicate frequency-doubling optical crystals (blue does too, and yellow lasers even moreso). There's also an IR filter that is absolutely necessary for safety.

Red and violet consumer lasers are diodes, like LED flashlights, and more rugged. There are collimation optics to break, but no frequency-double crystal or an IR filter to knock loose.

Another minor issue is that there is more than one "red" laser. 658nm is the one manufacturers like to use because it's cheaper, but there is also a 635nm diode laser that is a slightly lighter red. The important point is that the human eye is 3x as sensitive to 635nm as 658nm: a 635nm red is easier to see: not as easy as green, but a lot cheaper and more rugged.

Any SAR is going to instantly recognize that a laser beam is not a flashlight, whether it hits them directly or they see the beam sweep across terrain. I doubt the color matters to SAR as long as it can be seen.

Doug has a write-up somewhere on actual experiments on using these to attract searchers. As I recall it takes a little effort to use it right: anyone buying a rescue laser needs to read that article.