Although I do not have a PDA I decided to have a play with Google' Wireless Transcoder, its URL is here. Steves Stats is a site I obviously tried:

Much simplified, but all the information is available.
From the above visit, how did the verious counters register Google Wireless Transcoder:
1. No Icon. Hence, nothing registered:
ShinyStats
BraveNet
BelStats
SiteMeter
24Log
2. Icon, but nothing registered:
Motigo
3. Browser identified as Safari:
GoSats (Safari 52513)
GetClicky (Safari 3.1)
4. Visit registered as Google Bot:
OneStat
5. Correctly identified as Google Wireless Transcoder:
StatCounter
W3
ExtremeTracking
From the user agent it becomes apparent why it is mistaken for Safari:
Mozilla/5.0_(en-us)_AppleWebKit/525.13_(KHTML,_like_Gecko;_Google_Wireless_Transcoder)_Version/3.1_Safari/525.13