Guys, thanks for all the replies.
Folding down the eyecups may help. Blacking out when off-axis can be due to short eye relief.
Folding the eyecups means my eyes/head is far from the eyepieces (aprox 0.5"). That's the reason I 3D printed eyepiece extensions. If I remove the extensions it is even harder to maintain good picture from the eyepieces.
gaminn: didn't mention if they are wearing glasses or not, try to remove the glasses if you are, you have to find the right vertical height for your eyes.
I don't wear glasses.
Both the WF-10X/20 (the OP's and mine) and WHS eyepieces should be or are high eyepoint. The WHS eyepieces are also plan and project a flatter field. That may be the deciding difference. If anyone wants to experiment, I can see if I can find a link to some competent Chinese eyepieces I bought last year that copy an old, Zeiss high eyepoint, flat field design.
OK, I'l try buying different eyepieces and see if it helps.
In evaluation of a new scope, first set the fixed eyepiece to focus at low mag. Now set the adjustable eyepiece. The target should be centered in the field of view. Now zoom to max. Repeat the first step and then go back down to minimum. Both eyepieces should remain in focus as you zoom (parfocal). Repeat the adjustments until satisfactory. During zoom, the target should remain centered.
Not sure which one is the fixed eyepiece and which one is the adjustable one. Both eyepieces are identical. I adjusted the distance between eyepieces, the focus adjusted on the individual eyepieces (dioptric compensation???), the zoom on the body of the microscope, focus of the microscope - which is adjusted by the distance of the object under the microscope from the microscope, I don't have any knob on the microscope which adjusts the focus. When I change the zoom, I have also to change the distance between object and the microscope. I don't know how to set my microscope so it maintains the focus while I change the zoom. That would be great feature

Does your trinocular port have a focus adjustment? Otherwise, do you have any spacer rings to adjust the distance to the focal plane of your camera? If you can find focus through your camera but when it's in focus the eyepieces aren't focused (or vice versa), you probably just need to adjust the distance from the port lens to the camera sensor, and since this is not necessarily standardized between camera systems, it could be that a little shimming or adjusting could be required.
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I can always find focus through eyepieces, the whole image seen through eyepieces is sharp.
I can adjust the focus/zoom of my cheap Chinese 0.35x c-mount adapter by the ring around the body of the adapter. I don't think shimming can help, please see attached pictures. Once the planar object lies horizontally under the microscope, part of the picture is always blurred (only left side of the picture is in focus). When I adjust the focus of the microscope (by adjusting zoom/focus on the c-mount adapter or by changing the distance between the object and the microscope, I can get another part of the image sharp. But never whole image. Only when the object is tilted by approx 10° or 15° then the picture is perfectly sharp.