Donald Draper has got it right you just need to explain why increased competition leads to greater efficiency - the threat (or reality) of entry means firms will have to either lower their costs or differentiate their product through higher quality in order to compete; the entry of more efficient firms will drive less efficient firms out of the market and so on.
Also monopoly power means firms are charging a higher price for goods than the competitive market price (where P = MC), so if you erode market power you drive prices down towards the competitive price. This is important for the production of other goods as well, if you use some raw materials or intermediate goods in your production, and you have to purchase those from a monopolist, but then competition policy erodes monopoly power and so those raw materials or intermediate goods fall in price, then that reduces the costs of your production so even if your firm wasn't directly affected by the competition policy change, you now have lower costs. This is also going to help the economy's LRAS.