All lecroy models [...] got one thing in common:
Same behaviour as the siglent scope….memdepth will decrease when the timebase becoming shorter.
The better Lecroys (e.g. Waverunner 6zi) offer a selection between "Maximum Memory" and "Fixed Sample Rate" (in real-time sampling mode).
In the "maximum memory" setting, you select the "maximum sample points" and the scope adjusts the sample rate when changing the time scale (or pre/post trigger delays) to make use of the given sample points.
In the "fixed sample rate" setting, you select the sample rate which is kept whatever time base you select. "Lesser" Lecroys like the WS3000 don't offer this kind of flexibility but support only the "maximum memory" mode.
Anyway, note that when using a fixed memory length, even if this means that your record length is ten times longer that what you seen on the screen, this also decreases the update rate and increases the dead time. So while it can be handy to force a scope into doing so, this is usually not what you want as only or even default setting in normal trigger mode. In single trigger mode though, there is no real reason to
not fill the whole memory. So when comparing the behavior of different scopes, the trigger mode could make a difference.
Of course you could argue whether acquiring offscreen data
after the trigger event is always more interesting than offscreen data
before the trigger event. So if capturing offscreen data was supposed to be an important feature, you'd also need a setup that allows to somehow define a maximum pre/post trigger offset. I would think that no scope on the market offers something like that.