Thanks for the report. As you know, various metadata about the network sites and how that metadata is represented in SEDE are not kept in sync; this is primarily because the systems are independent and change infrequently. We have corrected this inconsistency for the sites (and their metas) mentioned in the question, at least to the best of our ability, as we still avoid & and other punctuation:
| Site on SE |
Former name on SEDE |
New name on SEDE |
| English Language & Usage |
English |
English Language and Usage |
| Travel |
Travel Answers |
Travel |
| Music: Practice & Theory |
Musical Practice and Performance |
Music Practice and Theory |
| Code Golf |
Code Golf and Coding Challenges |
Code Golf |
| Bricks |
LEGO® Answers |
Bricks |
| Video Production |
Audio-Video Production |
Video Production |
| Seasoned Advice |
Cooking |
Seasoned Advice |
| Cross Validated |
Statistical Analysis |
Cross Validated |
| Information Security |
IT Security |
Information Security |
| Matter Modelling |
Materials Modelling |
Matter Modeling |
| Medical Sciences |
Health |
Medical Sciences |
| Community Building |
Moderators |
Community Building |
| Mythology & Folklore |
Mythology |
Mythology and Folklore |
| Veganism & Vegetarianism |
Vegetarianism |
Veganism and Vegetarianism |
Others not mentioned above have been fixed either to match, for layout reasons, or for a missing Oxford comma:
| Site on SE |
Former name on SEDE |
New name on SEDE |
| Photography |
Photography and Photographic Editing |
Photography |
| WordPress Development |
WordPress |
WordPress Development |
| Beer, Wine & Spirits |
Beer, Wine and Spirits |
Beer, Wine, and Spirits |
| Programming Language Design and Implementation |
Programming Language Design and Implementation |
Programming Language Design |
In addition to the name updates, we fixed many links that either pre-dated a name change (and so went through at least one redirect, like health -> medicalsciences) or were broken entirely (e.g. the meta URLs for sites that have gone through a name change).
We also fixed about a dozen missing icons from the left column on the main page. And over 200 right sidebar images on the main query page that weren't rendering either due to a name change, or for sites without custom themes/logos, or both. The sidebar now shows the icon from the queries page in those cases. This is obviously not perfect-looking; the query box and schema panel get pushed down a bit, since the available images are mostly square, while the custom logos are rectangular:

Any changes to how this looks across the board will likely have to wait until the rebranding efforts have stabilized.
Adam Lear and balpha were instrumental in implementing these changes, so feel free to give them a high five next time they cross your path.