Rx3 is an adventure bike which means it has genes from a long road grand tourer and off-road daul sports bikes with a huge luggage carrying capacity and very soft suspension, this makes Rx3 a bad option to take it to a full Deadly offroad track.
LX450 is a Competition breed Dirt race horse with weight of a cg125 and power of a gs500, it is bad for long route due to its brink like seat no wind shield riding posture every thing is bad for long routes.. on a longer run it can be converted into a daul sports Dirt trail bike which will need further investment.
Tekken is a excellent machine and brillaint offroader it accompanied us for two years and I have very good insight about it.. its a best starter motorcycle for any one new to offroading and touring... but it is an underdawg with only 17 hourses under the hood it cries for help on top speed and you can get a surprise from a GS or a CG which will zoom cross you and you will struggle to catch them,
Again LX250 is no where near to what RX3 offers out of the box for country level touring, I would chose Rx3 (thats the reason I kept it eveen after getting LX450)
As I said earlier tekken is a best starter machine for any one looking for a cross over daul purpose machine but I actually grew out of 17HP motors so that is why I recomend it only to people who ask for it.