Did you know, the average DH in 2022 hit:
.236/.313/.397/.710
That's a worse OPS than 3B, 1B, LF, and RF
The bar offensively at DH as not as high as you think. Teams use it very often as a flex position nowadays. Also, there is an offensive penalty that is well documented (it's harder to hit when you don't play defense, for whatever reason).