I don't see any way how Remote Buddy could crash a time capsule, 
internet connection. It doesn't contain any code that could do this. 
The only network code in Remote Buddy are the RapidHTTPD server (for 
AJAX Remote) and the Online Updater and Online Verification, all of 
which are several thick layers of protocols and abstraction away from 
any network hardware.

With regards to wireless LAN reliability/stability, two things worth 
knowing are:

- Bluetooth can negatively influence other 802.11 networks (like WiFi/ 
WLAN connnections) on a physical level: they share the same radio 
frequency range. Apple explicitely mentions this in their Bluetooth 
documentation. The Wii Remote, f.ex., causes a lot of Bluetooth 
traffic - even when not connected, as it needs to be actively searched 
(polled) for.

- near-by 802.11 networks (f.ex. a WLAN of a neighbour) can also 
negatively influence the quality of your wireless connection to the 
Time Capsule.

In both cases, using a different channel for your WiFi network and/or 
avoiding concurrent Bluetooth/WiFi use may help to solve this known, 
physical problem.

Best regards, 
Felix Schwarz