I see there have been mentioned to bypass the immobilizer unit in earlier threads about this same problem. Can that be an easy and cheap solution?

The bike has done + 120 k kms already and its not worth a whole lot - so a bike with or without an immobilizer system wouldnt bother me at all...

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Suzuki AC 50 -78 owned from 83 to 84
Kawasaki Kh 100 Es 81 owned from 84 to 86
Honda Transalp Xlv 600 -97 owned from 01 to 05
Honda Nx 650 Dominator -98 owned from 07 to 10
Triumph Tiger 955 i -01 owned from 10 to 13
Yamaha XT660Z Tenere ABS -11 owned from 2013 and present bike.
Honda Crf250L -12 my bike in Thailand.