Thanks for your considerations.
Yes, all the other online maps load properly. It only concerns OTM. And, of course, all other maps only work, with offline mode unchecked. When opening OTM simultaneously from a browser, I can readily view and zoom everything in detail. So, I am sure, that OTM is functional. But from within LNM, there is no update while zooming. I am wondering, how it works in general. It looks like being cached, because all parts, which I have visited recently, are present. But when going into regions nearby, which I did not yet visit before, the map is either of low resolution or, when completely new to my flight areas, such as Cuba, it is even not existing. And at all places, the map is not updated. Zooming at some places visited already, I can see the names of cities in overlap, once in low resolution and hard to read, and another part of the name in higher resolution next to it. Usually, this could every time be seen for a short time, while zooming, until the image was updated from OTM. But now, it remains permanently unchanged. It looks like, the higher resoution being read from a cached version, and, if this is not present, the pixels of the low resolution image are simply enlarged. At some stage of enlargement, the complete image turns to be darkened or even completely black. Then only the LNM structures are visible. None of these effects occur, when using any other online map, such as OSM or google-maps-ter. Well, I just checked Stamen terrain, which shows another strange behaviour: At zoom factors less than 0.5nm per ruler tick it does not update properly. A square of about 4nm around the airport turns grey and does not update, while the region outside of this square is drawn. However, this looks like the upmost zoom factor for stamen anyway. Further zooming just enlarges the pixels. But usually I do not use stamen, OTM is way more informative.
More than one landing procedure in one leg is not available in FS2020 either, so I am not disappointed here. It is just a missing feature, because I am getting old. So sometimes I am getting tired pretty suddenly, and want to stop a flight in between, in order to continue next day. Therefore I have to adopt my own solution in LNM.
Thanks anyway.