That would appear to be a similar layout but who is to say the Bomford wasn’t thrown together based on the Mombasa template?
More likely is that all UK dominions had a similar form for birth registration.
Although I think the Kenya form is a fake.
This is a scan of a recent certified copy of my Australian birth certificate.
I believe I have older certified copies in a safe deposit box, though I'm not certain I kept them (I got this one because they were getting so tatty). They looked very similar to the Bomford certificate.