Disagree strongly to this assessment, simply because Cutch wound up OPS-ing 0.700 and also played alot of OF last season, Yelich is a borderline GG leftfielder this season, Tellez is considered to be a good defensive 1B but is best suited with a platoon mate even at that position so he doesn't face LHP too much, Contreras is an offensive catcher but that doesn't make him an everyday DH option at this stage of his career (he's DH'd this season a decent amount because their primary DH option sucks), Renfroe is a good RF, and the other players you listed were either picked up off the scrap heap for peanuts or frankly not given enough of an extended shot as the team's primary DH (Hiura specifically). If they just don't want anything to do with giving Hiura an extended shot (like another full season, not a month) to be their DH, then they need to acquire someone who would fill that role on an everyday basis because they're an established MLB hitter who doesn't require a platoon mate. Then, if plus offensive contributors to their positions like Yelich and Contreras need a day off in the field but can still hit, that's when you have them fill in as DH if there's a platoon advantage or your regular option needs a day for whatever reason.
The fact that there are 10 players who have gotten at least 20 DH PA for the Brewers in less than 2 regular seasons is the problem - if the Brewers prioritized that position there should be just a handful, because their production would preclude any other players from getting put in the order with much of any frequency. Bringing in Winker was a marginal attempt at this, but he appears to be damaged goods and frankly shouldn't be on this roster anymore.