> better allow me being late sometimes

That would depend on the jobs requirements, wouldn't it? In some roles that might be a complete deal breaker. For example, anything customer/client facing. If you can't perform the jobs duties with reasonable accommodation, maybe you should find another job?

Similarly, if you are 3 feet tall you'll likely never be the worlds slam dunk champion. Not even if they provide you with a step-stool. It's not your fault, or the employers. Sorry, I guess.

Nope. A disability diagnosis isn't a blank check where employers have to accommodate everything you want. If the job requires being on time then at least under the Americans with Disabilities Act an employer is totally allowed to fire an employee who shows up late. There are some nuances here that won't fit in a comment so consult an employment attorney if you have questions about your legal rights.