Is that what the hechsher actually says though? Call up Rabbi Yoffe - he's quite accessible. The owner does not equal the hechsher.
I didn't say that. *You* made a defense like that upthread. Once again, this is not about whether or not *I* would eat there. I have been to Lakewood once in my life.
Someone raised a question about the CY status of an establishment, saying (IIRC) there are many CS menu items, and as such even the CY items/equipment are being prepared/washed with the CS items, and if one is particular about that, one should ask a rav before eating there. The owner's angry, defensive, misleading response notwithstanding, one shouldn't need to call the rav hamachshir to know what's up. The hechsher on the wall of the establishment should be abundantly clear: is it CY entirely, is it DE, is it CY only on some items, etc.
I don't know what it says on the hechser. What I do know is that these concerns were met by arguments about what level of issur/minhag CY or CY keilim is, and what percentage of the Lakewood community holds what. All that is irrelevant. What should matter is what the hechsher says. And *if*, and that is a massive if, as it seems from this thread, the hechsher says it is entirely CY without making mention of DE or other kulos, and the store clearly serves items that are either DE or CS outright without such a warning from the hechsher, IMHO that calls into question their reliability for all aspects of the establishment's hechsher.
I am no halachic expert by any means. I say this from second-hand knowledge of messes happening from exactly this kind of setup, where frum people are catering to chumras or minhagim that they themselves don't adhere to, and end up playing games, which in turn leads to playing bigger games with the "standard" rules of the hashgacha.
I'd say you'd be surprised how common this is outside the US in regards to CY and in the US in regards to yoshon, but I don't think @Yehuda57 will be surprised