This is not a normal thing to expect. Ford does have a TSB out for a faulty pressure control solenoid depending on the production date of your vehicle. This can cause harsh shifting and delayed shifting into reverse to occur...
Engines in today’s automotive vehicles (https://www.yourmechanic.com/article/how-a-modern-engine-works) come in different sizes and number of cylinders depending on the vehicle size and weight or the work the engine is expected to do. The engine may also be used for performance or for...
In your initial question, I did not know that valve damage occurred as a consequence of a failed timing belt replacement. The 4 valves that the shop "claims" were damaged might merely represent what they "think" was the extent of...