Below two code blocks are doing same job and the only difference is below second code block uses variadic tuple. Check the below links for more details.

https://www.typescriptlang.org/docs/handbook/release-notes/typescript-3-7.html#more-recursive-type-aliases

https://www.typescriptlang.org/docs/handbook/release-notes/typescript-4-1.html#recursive-conditional-types

type CompareLength<Left extends any[], Right extends any[]> =
    Left['length'] extends Right['length'] ? 'equal' :
    Left extends [] ? 'shorterLeft' :
    Right extends [] ? 'shorterRight' :
    ((..._: Left) => any) extends ((_: any, ..._1: infer LeftRest) => any) ?
    ((..._: Right) => any) extends ((_: any, ..._1: infer RightRest) => any) ?
    CompareLength<LeftRest, RightRest> :
    never :
    never;

type T1 = CompareLength<[firstName: string], [lastName: string]>;

type T2 = CompareLength<[firstName: string], [lastName: string, age: number]>;

type T3 = CompareLength<[firstName: string, age: number], [lastName: string]>;

type CompareLength<Left extends any[], Right extends any[]> =
    Left['length'] extends Right['length'] ? 'equal' :
    Left extends [] ? 'shorterLeft' :
    Right extends [] ? 'shorterRight' :
    Left extends [any, ...infer L] ? 
    Right extends [any, ...infer R] ? 
    CompareLength<L, R> :
    never :
    never;

type T1 = CompareLength<[firstName: string], [lastName: string]>;

type T2 = CompareLength<[firstName: string], [lastName: string, age: number]>;

type T3 = CompareLength<[firstName: string, age: number], [lastName: string]>;