This looks wayyyy too good to be true... mobile site-Factory Direct Price! 5000MW red green Laser Pointer with 2 * Rechargeable Battery and Charger 10000 meters
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To answer your question as you put it NO ....it will be way way less than that theres my similar <8000mW marked laser that actually is 128mW LPM
As to pens and eBay pens there is like anything else a better quality factor that you never know.A lot of eBay pens get a yawn from ppl as the host is pretty boring but not outright yuck,but its luck of the draw as to how good a pen you get obviously power and quality and longevity. I been very lucky in that i haven't had a dud eBay pen yet. Most are overspec and by a long way. Some are just over and the switch is dodgy at times, and the power sticker on the higher speced ones i have found are the less powerful ones in reality .i have being in Australia a heap with 1mW on them and 90% are well over that like 30 to 160 times, so the rated power on a laser can really Go the other way as wellI have several <100W 532nm lasers
Also, don't ever buy from aliexpress. I wouldn't be surprised if 25% of the lasers sold there didn't work out of the box and another 25% that failed less than a month later and maybe <5% of the lasers on there are more than 10% of spec. LOL
Good luck getting a replacement if/when the laser dies too.
Stick to reputable companies or buy from trusted LPF members is the best way to go.