Let’s leave aside the discussion of how *important* or not someone is, or how necessary it is that he (or she) be “on call”. How can any yid not want to maximize their precious few minutes of tefillah, Especially if they really are so busy/important! aside from maybe a husband whose wife is immenently due (but if she’s that close that it can’t wait 20 min, maybe he should be at home!), everyone understands that a man needs to daven! Most of all, the man himself should understand that!
there’s an old poem that atarts “I had so much to do, I had no time to pray..” and then everything goes wrong. the next day it’s “I have so much to do, I HAD to find time to pray…” !!