Stripe checkout session with auto tax calculation doesn't show Google Pay or Apple Pay when billing address collection is auto

When creating a Node js Stripe checkout session using automatic tax calculation, Google Pay and Apple Pay options aren't available when setting billing_address_collection: 'auto'. However, those wallet options are available if I set:

 shipping_address_collection: {
     allowed_countries: ['US'],
 },

Here is my entire create checkout configuration:

{
     mode: 'subscription',
     line_items: [
         {
              price: 'price_key',
              quantity: 1,
          },
      ],
      billing_address_collection: 'auto', // does not work
      // shipping_address_collection: { // works
      //     allowed_countries: ['US'],
      // },
      automatic_tax: {
          enabled: true,
      },
      allow_promotion_codes: true,
      success_url: `success_url`,
      cancel_url: 'cancel_url',
      customer: 'stripe_customer_id';
      customer_update: {
          address: 'auto', // does not work
          // shipping: 'auto', // works
       };
}

Am I doing something wrong or is this how it works?

According to docs, when you enable Stripe Tax in Checkout, Apple and Google Pay are only available to customers for sessions that require collecting a shipping address. Therefore, this is expected.