Currently it is only possible to either hide the wikis name or not. I guess it will be a great improvement if it were possible to set an alternative short name shown on mobile view only.
On Semantic MediaWiki - Sandbox the text is definitively too long for the mobile view thus being able to set "SMW - Sandbox" for mobile view will be great. Other skins like Pivot and Foreground have a feature like this.
If I set
$wgMedikUseLogoWithoutText = true; the wiki's name is both hidden from classic and mobile view which is not really preferred.
Thank you for considering and keep up your work on this cool skin.