yes… normaly “system-managed” mean that windows can increase the pagefile.
But the whole “internet” is full of reports that this not works in each case as expected and therefore the hint with manual setting.
I also not know why some users say “no” to users where this hint/setting helped.
There exist a rule in which way windows can increase the pagefile.
Possible the issues comes because of volume size on which the pagefile lies, in special for smaller SSD. But so far I know, it should also with a 250gig ssd still enough.
The docu about the rule can you find here. But I’am not sure whether this is realy the current one, seems outdated.
3 × RAM or 4 GB, whichever is larger. This is then limited to the volume size ÷ 8. However, it can grow to within 1 GB of free space on the volume if required for crash dump settings.