The 広辞苑 dictionary lists とみに to have the meaning of しきりに :
which on of its meanings is "intensely".so, does とみに here means intensely ?
Japanese Language Stack Exchange is a question and answer site for students, teachers, and linguists wanting to discuss the finer points of the Japanese language. It only takes a minute to sign up.Sign up to join this community
First note that しきりに means very often, many times in a short time.
I think your interpret the writer's intention correctly. That is, it means intensely or more simply particularly, notably.
That said, it seems a wrong use of とみに.
As mentioned here, for example, using とみに as particularly is a common misuse. (This means you'd never get to the true meaning by dictionary though some dictionaries may mention very common misuses.)
I checked 広辞苑 and as you say, it lists しきりに as the second item. It's just a mystery to me. Both examples you wrote should be understood as 急に.