+1! It would be nice to make these checks consistent throughout the plugin codebase. There are a few examples that can be changed as part of this refactor:

• class-method-use-this:
  

  typescript-eslint/packages/eslint-plugin/src/rules/class-methods-use-this.ts

  Lines 190 to 195 in 82cb9dd

  	const name =
  	node.key.type === AST_NODE_TYPES.Literal
  	? getStaticStringValue(node.key)
  	: node.key.name || '';
  	return !exceptMethods.has(hashIfNeeded + (name ?? ''));

• explicit-module-boundary-types:
  

  typescript-eslint/packages/eslint-plugin/src/rules/explicit-module-boundary-types.ts

  Lines 251 to 265 in 82cb9dd

  	if (
  	node.key.type === AST_NODE_TYPES.Literal &&
  	typeof node.key.value === 'string'
  	) {
  	return options.allowedNames.includes(node.key.value);
  	}
  	if (
  	node.key.type === AST_NODE_TYPES.TemplateLiteral &&
  	node.key.expressions.length === 0
  	) {
  	return options.allowedNames.includes(node.key.quasis[0].value.raw);
  	}
  	if (!node.computed && node.key.type === AST_NODE_TYPES.Identifier) {
  	return options.allowedNames.includes(node.key.name);
  	}

• prefer-promise-reject-errors:
  

  typescript-eslint/packages/eslint-plugin/src/rules/prefer-promise-reject-errors.ts

  Lines 101 to 104 in 82cb9dd

  	const rejectMethodCalled = callee.computed
  	? callee.property.type === AST_NODE_TYPES.Literal &&
  	callee.property.value === 'reject'
  	: callee.property.name === 'reject';

• prefer-includes:
  It wouldn't hurt to check computed member expressions as well!
  

  typescript-eslint/packages/eslint-plugin/src/rules/prefer-includes.ts

  Lines 210 to 222 in 82cb9dd

  	// a.indexOf(b) !== 1
  	"BinaryExpression > CallExpression.left > MemberExpression.callee[property.name='indexOf'][computed=false]"(
  	node: TSESTree.MemberExpression,
  	): void {
  	checkArrayIndexOf(node, /* allowFixing */ true);
  	},
  	// a?.indexOf(b) !== 1
  	"BinaryExpression > ChainExpression.left > CallExpression > MemberExpression.callee[property.name='indexOf'][computed=false]"(
  	node: TSESTree.MemberExpression,
  	): void {
  	checkArrayIndexOf(node, /* allowFixing */ false);
  	},

• prefer-regexp-exec:
  same as above ^ (we can check computed names too)
  

  typescript-eslint/packages/eslint-plugin/src/rules/prefer-regexp-exec.ts

  Line 96 in 82cb9dd

  "CallExpression[arguments.length=1] > MemberExpression.callee[property.name='match'][computed=false]"(

• prefer-string-starts-ends-with:
  same as above ^ (we can check computed names too)
  

  typescript-eslint/packages/eslint-plugin/src/rules/prefer-string-starts-ends-with.ts

  Lines 466 to 469 in 82cb9dd

  	[[
  	'BinaryExpression > CallExpression.left > MemberExpression.callee[property.name="lastIndexOf"][computed=false]',
  	'BinaryExpression > ChainExpression.left > CallExpression > MemberExpression.callee[property.name="lastIndexOf"][computed=false]',
  	].join(', ')](node: TSESTree.MemberExpression): void {

• prefer-array-sort-compare:
  same as above ^ (we can check computed names too)
  

  typescript-eslint/packages/eslint-plugin/src/rules/require-array-sort-compare.ts

  Line 84 in 82cb9dd

  "CallExpression[arguments.length=0] > MemberExpression[property.name='sort'][computed=false]":

• prefer-reduce-type-parameter:
  

  typescript-eslint/packages/eslint-plugin/src/rules/prefer-reduce-type-parameter.ts

  Lines 23 to 24 in e24d4af

  	member.property.type === AST_NODE_TYPES.Literal &&
  	typeof member.property.value === 'string'

Whew, what a list! +1 to this from me 🙂 thanks for filing + looking!

I believe these guys could similarly be replaced with a utility, as well as probably a few more places in that file

So it doesn't get lost: #8412 has another one for class-literal-property-style. Would be nice to re-use in that rule too.

Noticed this while working on #8952:

unbound-method rule also needs more thorough handling of static member access: playground