And how exactly do you prove it wasn’t crossed after being signed?
If it had to go in front of a judge, there are no initials present to show that both parties were made aware of the change and one party claims that the contract was modified without them being informed then the contract as it was originally written will be considered valid.
I find it hard to believe that I have to explain that you can’t modify a written contract without informing the other party and without having a proof that you did in case of a breach…
By the way there’s a difference between including clauses on the typed document and manually introducing extra clauses. In the second case the judge would say the same as if information was crossed without informing the other party. The typed version is the original and the one that’s valid, without the hand written clauses that got added without the other party putting their initials to confirm they were informed. If extra clauses not previously agreed to by both parties (ex.: working hours agreed to during interview and written in the contract, extra clause saying they’re subject to change at the employer’s will in the written contract) were in the typed version then they were there from the beginning and it was the responsibility of both parties to be aware of them.
In a case where a clause with potential major consequences is modified (like removing a NDA or non compete agreement) it would be advised to reprint the document to remove any form of ambiguity.