i recently had the same sheilah while on vacation. i assumed, like you that there was nothing wrong. when i got back, i had a shmuez with my rav, and i asked him about it, and he said that the shailah isn’t a shailah of “tevilas keilim” for machine parts, but rather if the parts were washed in warm water with “treif Keilim” and for that some are “somech” that the dishwashing detergent is good enough to say it’s “plitah”.
Bottom Line: ask your rabbi, but there are those that are “machmir” with this