Is "select to" grammatical [closed]

The Cambridge English Dictionary, under the headword choose, includes:

choose to do something: B1 to decide to do something:

Katie chose (= decided) to stay away from work that day.

There is no corresponding construction ('select to do something' under the headword select, and I'd be surprised if there were. I think the construction is ungrammatical.

But note that one can elect to do something.

Trivially, as 'select' may be used intransitively, one can contrive the clunky 'You may select from any of the low fat options offered: you may select to comply with your personal dietary requirements.' Here, 'to' = 'in order to / in such a way as to'.