There is a question Can I surprise the prosecution with an alibi defense at trial? which asks a similar thing and the answer there seems to be yes, but the evidence presented seems to me to be inconclusive at best. Since it only implies that the notice of alibi requirement is constitutional, but the notice only says the court MAY exclude the alibi if it has not been disclosed.
The goal of the statue as read seems to be more expediency and efficiency of proceedings though and the argument being that alibis can be easily falsified, here assuming that witnesses can be coerced/bought/or just sympathetic (mom in one case where this was raised) but there is evidence that is quiet hard to falsify such as public video recordings or witness testimony from large amounts of unrelated people.
Is it realistic that a court would exclude such testimony due to it not being disclosed timely?