Hello,
What would you like it to look like? You can alter the css some..

Hello,
Well these can all be styled a bit to reflect each site. We include just standard styling for the store banner image and the store icon.

To control the banner image inner element, which is the semi-transparent overlay… use this element:
.wcv-header-container #inner-element

Here are the defaults for that element:

.wcv-header-container #inner-element {
    position: absolute;
    top: 0;
    left: 10%;
    right: 10%;
    background: rgba(255,255,255,.9);
    max-width: 80%;
    height: 100%;
    padding: 15px 10px;
}

If you want to change the opacity so it is more transparent, Then adjust the background to be .75 instead of .9 . If you want the inner element to only cover 50% of the banner instead of 100%, adjust it to 50%.
Like this:

.wcv-header-container #inner-element {
background: rgba(255,255,255,.75);
height: 50%;
}

For the icon, the element is:
.wcv-header-container #inner-element .store-icon

To change it to be smaller, (default is 150 height and 150 width), try a smaller number for height and width:

.wcv-header-container #inner-element .store-icon {
width: 100px;
height: 100px;
}

any of these changes should be put in your child theme style.css file.

Well– I am not sure what is not working and why.
The inner banner (white) css element is:
.wcv-header-container #inner-element

So if you put:

.wcv-header-container #inner-element {
display:none;
}

In the theme/child theme style.css file it should prevent that form showing.
I don’t know if you theme has a custom css file.
That might prevent the modification from showing up.