The only output from the WASM is to draw to screen. There is no chance of a RCE, or data exfiltration.
In that case being able to show arbitrary other text would definitely be a hindrance because the scanning software typically looks at the data stored in the database. However I think you don't need a Turing machine to exploit this — you could have a single ligature in a well crafted font produce a full paragraph of text.
Perhaps there's an alternative vector where someone's premade font on a site that doesn't allow font uploading can be exploited to make arbitrary calculations given certain character strings. Maybe bitcoin mining, if you could find a way to phone home with the result