I doubt giving up the DH would matter much. Assuming his bat is average for a DH (98 wRC+ this year), then you'd be talking about roughly 3 innings every five days, and being able to mix and match to the pitchers for those innings probably negates the downside. Now where it would matter, is the DH is kinda useful when you have a vet with a nagging injury - and we have a lot of those lol.