The first thing is look at the context of that paragraph. It has to do with leadership skills. It does not have to do with ages, epochs, eras, dispensations, etc.
The flimsy thing about Dispensationalism was the way it could find a soundbyte expression and generate whole doctrines out of them that don't really exist.
since scripture uses the word dispensation, I find it difficult to ignore.
1 Corinthians 9:17
For if I do this thing willingly, I have a reward: but if against my will, a
dispensation of the gospel is committed unto me.
Ephesians 1:10
That in the
dispensation of the fulness of times he might gather together in one all things in Christ, both which are in heaven, and which are on earth; even in him:
Ephesians 3:2
If ye have heard of the
dispensation of the grace of God which is given me to you-ward:
Colossians 1:25
Whereof I am made a minister, according to the
dispensation of God which is given to me for you, to fulfil the word of God;
Granted that is the translation of a Greek word, but since God used that Greek word to describe periods of time He ordained, I am not going to ignore scripture because of your theology