RegExp named capture groups don't get transpiled

TypeScript Version:
3.7.2 (3.7.4 and nightly (3.8.0) as well)

Search Terms:
Named capture groups
Named capturing groups
Regex
ES2018.RegExp

Expected behavior:
The named capture group in the regex gets transpiled to the correct target (es5 in our case). Something like what @babel/plugin-transform-named-capturing-groups-regex does?

Actual behavior:
The named capture group ends up in the compiled code while only Chrome currently supports this.

Related Issues:
https://github.com/microsoft/TypeScript/issues/31241

Code

const regex = /^(?<name>[A-Za-z]+)/;
const match = regex.exec('MatchThis-NotThis');
console.log(match);

Live Playground
Here

Additional information
I'm not 100% sure if this is something that TypeScript actually should be doing so if that's not the case I'd like to get some details on how to properly transpile this.

Start with the TypeScript compiler's handling of regular-expression literals and reproduce the issue in the linked Playground, targeting ES5. Compare the requested behavior with the linked Babel transform and related issue #31241; done means named capture groups are handled correctly for the target, or the issue clearly documents why TypeScript will not transform them.