The reasonable tradeoff, in this case, would be to continue using the third-party analytics saas, but exclude personally identifiable information, or at the very least, exclude this extremely sensitive information.
I think it depends on your reasoning for not sharing data to third parties.
It seems like you're arguing that sharing data is wrong because, in the wrong hands, the data could be used to personally identify someone. In my mind, these are the ways that can happen:
1. The data is sent to an advertiser who can target based on that data. Seems possible, so it's relevant that this data isn't being shared with an ad firm.
2. The data is sent to a third party, whose employees can access and leak the data.
3. The data is sent to a third party, whose data gets compromised.
So the trade-off is, what is the value of having user information in a tool for analytics purposes, versus the chance that (2) or (3) (or any unknowns happen)? My argument is that analytics firms are not in the business of leaking or selling data; their business hinges on their client's data privacy. So to me, this seems like a reasonable trade-off for certain types of data.
As for whether HIV status is the type of data that's unreasonable... I can buy that argument either way. I've never used Grindr but I can imagine it being extremely relevant to its users. And any data that has product impact is useful in an analytics setting. For example, if Grindr has some features that make it easier for HIV-positive or negative people to filter, then they'd be interested in understanding whether it's being used in the product. Then again, I can equally see them deciding it's not worth the risk, and removing it.
If you think sharing sensitive data is wrong under all circumstances, on principle, then you're entitled to your beliefs, but that would seem to me awfully close to religion.