This morning I had some time to spend with my bike. It was still a bit wet, but it could run almost without problems.
As I was working on it, I took a few pictures and videos to show what was going on.
While the engine was still running fine, I sprayed water on the coils and the area around them...... It made no difference, it was running fine.
Then I sprayed the area around the fuel pump connectors (under the seat).... running fine, no problems there.
After I sprayed the TPS and it's cable and connector, it stared to feel jerky. I thought it was the problem, but still I took apart the bodywork, took down the fuel tank and was ready to check all the cable connections around the engine.
I took the airbox down, it was dry inside.... All other connectors were looking good, some of them were dirty from mud, but the inside was looking clean and well. Nevertheless, I cleaned everything with WD40, contact spray, and I dried it with compressed air. The only thing I didn't check was the box under the passenger seat, but it looked clean and dry. The box under my seat was maybe a bit wet, but I could not notice any moisture in the connectors.
After I cleaned everything I took the dielectric grease and applied it to all joining parts of the connectors, and while I was connecting them I felt resistance, so I think the grease sealed all the joints well. I was cautious not to grease the leads in the connectors.
I also found the TPS leads outer insulation cracked a bit, so I replaced the damaged part with new insulating tape.
When I put everything back together, the engine fired up nicely, and I took it for a test ride. It was good, but I had to check if the "wet" problem was gone. I took it to the washing service, and washed it like I usually do. Then I rode it for about 15-20 minutes (the time when the problem usually started to show up), but nothing strange happened - the bike drove easily and I got home with the smile on my face.
Here is a link to a little movie I made this morning, so you can see a little of what was going on.
The wet problem in the video was not so severe as yesterday, but was still noticable at the beginning of the movie. If there are many grammar errors, excuse me for making them, as this is not my native language.
Once again thanks to everyone, I hope the problem is solved permanently.