"Quick Invoice" is a simple and quick way to invoice the Sales Orders specialty when you don't have to change anything on the Invoice. its also the best option for the warehouse since you don't want the warehouse guy to change any detail of the invoice.
When to use a Standard Invoicing from action menu?
1- When you have to edit the content of the invoice
2-Using Multi-Warehouse (Store) location, for example you create your sales order at Location A and a part of Order need to be invoiced (shipped) from Location A and some from location B so that way you can invoice the sales order at different time and change the location on the invoice page.