Just to clarify what Mary is saying for you.
If you are using More, then its parents are Clean and BootstrapBase - at no point does the Base theme come into it at all
https://github.com/moodle/moodle/blob/master/theme/more/config.php#L26
If you are using the older themes such as canvas, standard, anomaly, etc then the parent is Base (or canvas and base).
https://github.com/moodle/moodle/blob/master/theme/canvas/config.php#L42
Changing the Base theme would have no affect on More at all in a default setup, so if you have changed Base and that has 'fixed' your More theme, then someone at some point has tinkered with your More theme and broken it by applying an unrelated parent to it.
Perhaps you can clarify that you are indeed using the More theme and that is what your post title referred to, rather than you are experiencing additional (more) issues with your theme - in which case, what theme are you using that might then have 'base' as a parent? The first is what I have assumed - and Mary also - but knowing how the English language complicates everything, I thought I would check to ensure there hasn't been any confusion
Also, as the bootstrapbase theme (or any parent theme) can potentially affect every other theme built on it, you should really make the changes in your own theme rather than changing the parent - in this case, copy the array relating to the layouts from bootstrapbase into your (clone of) More and make the changes there.
Richard