It should remember. But if you visit the folder with another window then the last window to visit saves it's windows position. The position (and size) is the saved settings for the folder first opened. But is saved for every folder visited. Note there is no difference in view mode. Opening and exploring uses the same settings (different to 98 and earlier where explorer view had it's own global settings). A window that open can be a good size but usually too small in explorer mode.
From the Win2000 Resource Kit which explains explorer behaviour
Understanding Saved Views and Browsing Folders
In Windows 2000 Professional, the view you use is not always permanently
saved in Windows Explorer. You can control whether the views you use are
saved permanently or temporarily by using the Remember each folder's view
settings check box on the View tab of the Folder Options dialog box (see
figure 9.3).
By default the Remember each folder's view settings option is enabled. When
you choose to leave this setting enabled, the following happens:
a.. The changes you make to a folder's view is automatically saved when
you close the folder.
b.. The view you use to view one folder is not applied to other folders.
c.. When you open a folder, it opens in the view you used when you last
viewed it.
When you clear the check box for Remember each folder's view settings, the
following happens:
a.. When you start Windows Explorer, the first folder you view displays in
the folder's saved view. Windows Explorer holds that view in temporary
memory and applies it to all the folders that you visit while Windows
Explorer remains open unless you manually alter the view.
b.. As you browse to other folders (after the initial folder is opened),
the saved view for each folder is ignored, and when you quit Windows
Explorer, the folder view that you have been using to view multiple folders
is deleted from temporary memory.
c.. The next time you open Windows Explorer, once again, it is the saved
view of the first folder you open that determines how you view multiple
folders.
Setting All Folders to the Same View
Some users want to have all their Windows Explorer folders set to the same
view. In Windows 2000 Professional, the default setting is that any change
made to a folder's view is automatically saved when you close the folder and
is not applied to other folders. However, you can set all folders to the
same view by using the Folder Options command as described in the following
procedure.
To set all folders to the same view
1.. In My Computer or Windows Explorer, set the view to your preference.
2.. On the Tools menu, click Folder Options.
3.. In the Folder Options dialog box, click the View tab.
4.. Under Folder Views, click Like Current Folder.
Important The Remember each folder's view settings check box on the View tab
of the Folder Options dialog box (see Figure 9.3) affects how the view
settings of individual folders are applied and saved. For more information
about the impact of clearing this check box, see "Understanding Saved Views
and Browsing Folders" earlier in this chapter.