Another reason the chair looks out of place is because it's a transfer chair, not a self propel chair. These chairs are designed to push someone, they aren't designed for independent mobility.

These chairs are commonly represented in media because they are cheap and often the "first chair" a disabled person will get because of their affordability and needing something quick. But they are bog standard and you can't really get around by yourself in one without more pain or fatigue. You'll then start the process of getting a measured for a chair that will fit your needs.

Some people only have a transfer chair because they are semi-ambulant/part time chair user, so that's all they need. But most people who use a wheelchair will not use a transfer chair long term. It's temporary because it's shit.

So it doesn't make sense that someone with an active lifestyle, like a DnD character, would use this style chair as their main aid. Unless there's something in the campaign, like their main chair was damaged, or the disability is recently acquired, the character is poor, etc.