I have also seen Sony-branded chargers with three terminals, but with one very clearly being a duplicate (you can usually see it's the same contact, just with two contact points). These have always been external chargers supplied as accessories with the camera (i.e., the cheapest charger Sony could find). My W200 came with a wall charger that I can see is only making 2 connections with the battery, but it is VERY slow compared with the "fast" charger that Sony sells separately at a premium (which appears to have additional safety features).
As someone has already pointed out, and I believe this is the key here, these cheap chargers are not charging anywhere near the maximum safe rate, which can be in the 1-2C range for higher-end electronics. The maximum safe rate will depend on the exact Li-ion chemistry and safety circuitry (C refers to the relation of charge current to battery capacity, some good reading here:
http://batteryuniversity.com/learn/article/charging_lithium_ion_batteries) Looking at the OEM battery for the RX100, I see they list a maximum charge current of 1.89A - this is equivalent to 1.5C, which is a fairly fast charge for a consumer device (but not unusual in a premium camera). Although charging the battery in-camera with the supplied 1.5A USB adapter might not quite hit this rate, I suspect it should be pretty close.
So, compared with the cheap wall charger supplied with these $20 aftermarket battery kits (750mA output I think), this is quit a bit faster. I have the Wasabi 2 battery kit with wall charger and haven't found anything wrong with it. The only things I have noted WRT aftermarket Li-ion batteries are:
1. There should be no concern about aftermarket batteries supplying the correct voltage or otherwise meeting the camera's power requirements because (a) voltage regulation is done in-camera and (b) all common Li-ion chemistries have essentially the same voltage profile (4.2V fully charged, ~3.2V empty) and current delivery capabilities.
2. These aftermarket batteries either show full charge or low charge (meaning you have a minute or two left) on the RX100's 4-segment battery status display, so be aware that they can die suddenly on you with no warning. Apparently they (or at least the ones I have) do not allow the camera to keep track of the remaining charge, which is typically just a matter of measuring the resting voltage of the cell (this tracks very closely with remaining charge). Older Sony batteries used a more advanced system (InfoLithium) which kept track of the cell performance (which changes over the cell's life) to allow for a more exact runtime display, but it appears they have switched to a simpler method (which I suspect is resting voltage, but there could be more to it). Interestingly, the camera does still warn you when these batteries are nearly exhausted, which would suggest that the camera may still be monitoring charge status. So, it could be they just disable the charge status display when the camera detects a non-OEM battery (I'll take that over the dreaded "for use with compatible battery only" message some Sony cameras give). Anyway, at least they give you a 2 minute warning.
3. The battery capacity listed on these aftermarket products is almost always inflated and they almost always offer less runtime compared with the OEM battery (I seem to get a little less runtime out of these wasabi batteries, but not much less, maybe 10-20%).
4. To remove any chance of damage to your camera, always use the supplied aftermarket charger EXCLUSIVELY to charge an aftermarket battery (this charger should also be perfectly safe to use on the OEM battery). Since you know nothing about how different these batteries are, you cannot assume it is safe to charge the aftermarket battery in-camera (especially if it is doing something to trick the camera into accepting it). In-camera charging with the RX100 is definitely much faster than the aftermarket charger, so this may not be safe.
In fact, the only problems I have occasionally seen reported with these cheap batteries are failures when they are being charged in-camera - the battery can suddenly expand and you will not be able to remove it without taking the camera apart. FWIW, this was much more commonly reported 4-5 years ago (don't think I have even seen any recent reports). So, it seems these aftermarket brands may have improved the reliability of their products. Anyway, I wouldn't assume there is zero risk involved, but the risk should be pretty minimal.